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Finding the Fourth Proportional to 104,881.92, 157,349.76 and 34,780.80

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Solution

The fourth proportional to 104,881.92, 157,349.76 and 34,780.80 is: 52,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,881.92 : 157,349.76 = 34,780.80 : x
  2. Step 2: Convert to fraction form
    104,881.92/157,349.76 = 34,780.80/x
  3. Step 3: Cross multiply
    104,881.92x = 157,349.76 × 34,780.80
  4. Step 4: Simplify right side
    104,881.92x = 5,472,750,532.61
  5. Step 5: Solve for x
    x = 5,472,750,532.61/104,881.92
  6. Step 6: Final answer
    x = 52,180.11

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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.