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Finding the Fourth Proportional to 47,802.79, 71,704.17 and 22,766.93

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Solution

The fourth proportional to 47,802.79, 71,704.17 and 22,766.93 is: 34,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802.79 : 71,704.17 = 22,766.93 : x
  2. Step 2: Convert to fraction form
    47,802.79/71,704.17 = 22,766.93/x
  3. Step 3: Cross multiply
    47,802.79x = 71,704.17 × 22,766.93
  4. Step 4: Simplify right side
    47,802.79x = 1,632,483,819.10
  5. Step 5: Solve for x
    x = 1,632,483,819.10/47,802.79
  6. Step 6: Final answer
    x = 34,150.39

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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.