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Finding the Fourth Proportional to 92,161.38, 138,264 and 29,831.88

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Solution

The fourth proportional to 92,161.38, 138,264 and 29,831.88 is: 44,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,161.38 : 138,264 = 29,831.88 : x
  2. Step 2: Convert to fraction form
    92,161.38/138,264 = 29,831.88/x
  3. Step 3: Cross multiply
    92,161.38x = 138,264 × 29,831.88
  4. Step 4: Simplify right side
    92,161.38x = 4,124,675,056.32
  5. Step 5: Solve for x
    x = 4,124,675,056.32/92,161.38
  6. Step 6: Final answer
    x = 44,754.92

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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.