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Finding the Fourth Proportional to 83,152.60, 124,704.60 and 29,838.40

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Solution

The fourth proportional to 83,152.60, 124,704.60 and 29,838.40 is: 44,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,152.60 : 124,704.60 = 29,838.40 : x
  2. Step 2: Convert to fraction form
    83,152.60/124,704.60 = 29,838.40/x
  3. Step 3: Cross multiply
    83,152.60x = 124,704.60 × 29,838.40
  4. Step 4: Simplify right side
    83,152.60x = 3,720,985,736.64
  5. Step 5: Solve for x
    x = 3,720,985,736.64/83,152.60
  6. Step 6: Final answer
    x = 44,748.88

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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.