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Finding the Fourth Proportional to 37,924.92, 56,897.10 and 14,553.18

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Solution

The fourth proportional to 37,924.92, 56,897.10 and 14,553.18 is: 21,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,924.92 : 56,897.10 = 14,553.18 : x
  2. Step 2: Convert to fraction form
    37,924.92/56,897.10 = 14,553.18/x
  3. Step 3: Cross multiply
    37,924.92x = 56,897.10 × 14,553.18
  4. Step 4: Simplify right side
    37,924.92x = 828,033,737.78
  5. Step 5: Solve for x
    x = 828,033,737.78/37,924.92
  6. Step 6: Final answer
    x = 21,833.50

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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.