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Finding the Fourth Proportional to 52,344.85, 78,802.03 and 47,694.78

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Solution

The fourth proportional to 52,344.85, 78,802.03 and 47,694.78 is: 71,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,344.85 : 78,802.03 = 47,694.78 : x
  2. Step 2: Convert to fraction form
    52,344.85/78,802.03 = 47,694.78/x
  3. Step 3: Cross multiply
    52,344.85x = 78,802.03 × 47,694.78
  4. Step 4: Simplify right side
    52,344.85x = 3,758,445,484.40
  5. Step 5: Solve for x
    x = 3,758,445,484.40/52,344.85
  6. Step 6: Final answer
    x = 71,801.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.