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Finding the Fourth Proportional to 61,884.88, 85,394.02 and 34,657.16

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Solution

The fourth proportional to 61,884.88, 85,394.02 and 34,657.16 is: 47,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,884.88 : 85,394.02 = 34,657.16 : x
  2. Step 2: Convert to fraction form
    61,884.88/85,394.02 = 34,657.16/x
  3. Step 3: Cross multiply
    61,884.88x = 85,394.02 × 34,657.16
  4. Step 4: Simplify right side
    61,884.88x = 2,959,514,214.18
  5. Step 5: Solve for x
    x = 2,959,514,214.18/61,884.88
  6. Step 6: Final answer
    x = 47,822.90

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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.