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Finding the Fourth Proportional to 61,753.91, 85,209.18 and 34,530.49

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Solution

The fourth proportional to 61,753.91, 85,209.18 and 34,530.49 is: 47,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,753.91 : 85,209.18 = 34,530.49 : x
  2. Step 2: Convert to fraction form
    61,753.91/85,209.18 = 34,530.49/x
  3. Step 3: Cross multiply
    61,753.91x = 85,209.18 × 34,530.49
  4. Step 4: Simplify right side
    61,753.91x = 2,942,314,139.20
  5. Step 5: Solve for x
    x = 2,942,314,139.20/61,753.91
  6. Step 6: Final answer
    x = 47,645.80

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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.