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Finding the Fourth Proportional to 61,461.92, 92,045.10 and 35,086.70

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Solution

The fourth proportional to 61,461.92, 92,045.10 and 35,086.70 is: 52,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461.92 : 92,045.10 = 35,086.70 : x
  2. Step 2: Convert to fraction form
    61,461.92/92,045.10 = 35,086.70/x
  3. Step 3: Cross multiply
    61,461.92x = 92,045.10 × 35,086.70
  4. Step 4: Simplify right side
    61,461.92x = 3,229,558,810.17
  5. Step 5: Solve for x
    x = 3,229,558,810.17/61,461.92
  6. Step 6: Final answer
    x = 52,545.69

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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.