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Finding the Fourth Proportional to 35,678.98, 53,514.42 and 9,385.75

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Solution

The fourth proportional to 35,678.98, 53,514.42 and 9,385.75 is: 14,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.98 : 53,514.42 = 9,385.75 : x
  2. Step 2: Convert to fraction form
    35,678.98/53,514.42 = 9,385.75/x
  3. Step 3: Cross multiply
    35,678.98x = 53,514.42 × 9,385.75
  4. Step 4: Simplify right side
    35,678.98x = 502,272,967.52
  5. Step 5: Solve for x
    x = 502,272,967.52/35,678.98
  6. Step 6: Final answer
    x = 14,077.56

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