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Finding the Fourth Proportional to 35,985,853.60, 53,978,780.40 and 32,514,647.20

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Solution

The fourth proportional to 35,985,853.60, 53,978,780.40 and 32,514,647.20 is: 48,771,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985,853.60 : 53,978,780.40 = 32,514,647.20 : x
  2. Step 2: Convert to fraction form
    35,985,853.60/53,978,780.40 = 32,514,647.20/x
  3. Step 3: Cross multiply
    35,985,853.60x = 53,978,780.40 × 32,514,647.20
  4. Step 4: Simplify right side
    35,985,853.60x = 1,755,101,000,992,274.75
  5. Step 5: Solve for x
    x = 1,755,101,000,992,274.75/35,985,853.60
  6. Step 6: Final answer
    x = 48,771,970.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.