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Finding the Fourth Proportional to 35,887.64, 53,830.98 and 12,514

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Solution

The fourth proportional to 35,887.64, 53,830.98 and 12,514 is: 18,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,887.64 : 53,830.98 = 12,514 : x
  2. Step 2: Convert to fraction form
    35,887.64/53,830.98 = 12,514/x
  3. Step 3: Cross multiply
    35,887.64x = 53,830.98 × 12,514
  4. Step 4: Simplify right side
    35,887.64x = 673,640,883.72
  5. Step 5: Solve for x
    x = 673,640,883.72/35,887.64
  6. Step 6: Final answer
    x = 18,770.83

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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.