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Finding the Fourth Proportional to 48,109, 72,170.28 and 14,831.76

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Solution

The fourth proportional to 48,109, 72,170.28 and 14,831.76 is: 22,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,109 : 72,170.28 = 14,831.76 : x
  2. Step 2: Convert to fraction form
    48,109/72,170.28 = 14,831.76/x
  3. Step 3: Cross multiply
    48,109x = 72,170.28 × 14,831.76
  4. Step 4: Simplify right side
    48,109x = 1,070,412,272.09
  5. Step 5: Solve for x
    x = 1,070,412,272.09/48,109
  6. Step 6: Final answer
    x = 22,249.73

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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.