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Finding the Fourth Proportional to 61,708.52, 85,157.96 and 33,414.16

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Solution

The fourth proportional to 61,708.52, 85,157.96 and 33,414.16 is: 46,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,708.52 : 85,157.96 = 33,414.16 : x
  2. Step 2: Convert to fraction form
    61,708.52/85,157.96 = 33,414.16/x
  3. Step 3: Cross multiply
    61,708.52x = 85,157.96 × 33,414.16
  4. Step 4: Simplify right side
    61,708.52x = 2,845,481,700.71
  5. Step 5: Solve for x
    x = 2,845,481,700.71/61,708.52
  6. Step 6: Final answer
    x = 46,111.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.