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Finding the Fourth Proportional to 52,541.80, 78,812.70 and 49,431.40

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Solution

The fourth proportional to 52,541.80, 78,812.70 and 49,431.40 is: 74,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,541.80 : 78,812.70 = 49,431.40 : x
  2. Step 2: Convert to fraction form
    52,541.80/78,812.70 = 49,431.40/x
  3. Step 3: Cross multiply
    52,541.80x = 78,812.70 × 49,431.40
  4. Step 4: Simplify right side
    52,541.80x = 3,895,822,098.78
  5. Step 5: Solve for x
    x = 3,895,822,098.78/52,541.80
  6. Step 6: Final answer
    x = 74,147.10

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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.