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Finding the Fourth Proportional to 49,866.86, 74,737.91 and 24,913.91

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Solution

The fourth proportional to 49,866.86, 74,737.91 and 24,913.91 is: 37,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,866.86 : 74,737.91 = 24,913.91 : x
  2. Step 2: Convert to fraction form
    49,866.86/74,737.91 = 24,913.91/x
  3. Step 3: Cross multiply
    49,866.86x = 74,737.91 × 24,913.91
  4. Step 4: Simplify right side
    49,866.86x = 1,862,013,812.46
  5. Step 5: Solve for x
    x = 1,862,013,812.46/49,866.86
  6. Step 6: Final answer
    x = 37,339.70

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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.