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Finding the Fourth Proportional to 61,969.29, 92,710.61 and 47,822.43

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Solution

The fourth proportional to 61,969.29, 92,710.61 and 47,822.43 is: 71,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,969.29 : 92,710.61 = 47,822.43 : x
  2. Step 2: Convert to fraction form
    61,969.29/92,710.61 = 47,822.43/x
  3. Step 3: Cross multiply
    61,969.29x = 92,710.61 × 47,822.43
  4. Step 4: Simplify right side
    61,969.29x = 4,433,646,944.87
  5. Step 5: Solve for x
    x = 4,433,646,944.87/61,969.29
  6. Step 6: Final answer
    x = 71,545.88

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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.