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Finding the Fourth Proportional to 37,854, 56,737.94 and 23,030.24

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Solution

The fourth proportional to 37,854, 56,737.94 and 23,030.24 is: 34,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854 : 56,737.94 = 23,030.24 : x
  2. Step 2: Convert to fraction form
    37,854/56,737.94 = 23,030.24/x
  3. Step 3: Cross multiply
    37,854x = 56,737.94 × 23,030.24
  4. Step 4: Simplify right side
    37,854x = 1,306,687,976.46
  5. Step 5: Solve for x
    x = 1,306,687,976.46/37,854
  6. Step 6: Final answer
    x = 34,519.15

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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.