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Finding the Fourth Proportional to 31,802.56, 47,737.04 and 23,491.92

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Solution

The fourth proportional to 31,802.56, 47,737.04 and 23,491.92 is: 35,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.56 : 47,737.04 = 23,491.92 : x
  2. Step 2: Convert to fraction form
    31,802.56/47,737.04 = 23,491.92/x
  3. Step 3: Cross multiply
    31,802.56x = 47,737.04 × 23,491.92
  4. Step 4: Simplify right side
    31,802.56x = 1,121,434,724.72
  5. Step 5: Solve for x
    x = 1,121,434,724.72/31,802.56
  6. Step 6: Final answer
    x = 35,262.40

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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.