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Finding the Fourth Proportional to 72,201.52, 108,275.31 and 24,803.15

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Solution

The fourth proportional to 72,201.52, 108,275.31 and 24,803.15 is: 37,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,201.52 : 108,275.31 = 24,803.15 : x
  2. Step 2: Convert to fraction form
    72,201.52/108,275.31 = 24,803.15/x
  3. Step 3: Cross multiply
    72,201.52x = 108,275.31 × 24,803.15
  4. Step 4: Simplify right side
    72,201.52x = 2,685,569,025.91
  5. Step 5: Solve for x
    x = 2,685,569,025.91/72,201.52
  6. Step 6: Final answer
    x = 37,195.47

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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.