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Finding the Fourth Proportional to 48,542.40, 72,831.14 and 16,957.13

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Solution

The fourth proportional to 48,542.40, 72,831.14 and 16,957.13 is: 25,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,542.40 : 72,831.14 = 16,957.13 : x
  2. Step 2: Convert to fraction form
    48,542.40/72,831.14 = 16,957.13/x
  3. Step 3: Cross multiply
    48,542.40x = 72,831.14 × 16,957.13
  4. Step 4: Simplify right side
    48,542.40x = 1,235,006,660.09
  5. Step 5: Solve for x
    x = 1,235,006,660.09/48,542.40
  6. Step 6: Final answer
    x = 25,441.81

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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.