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Finding the Fourth Proportional to 91,829.40, 137,744.10 and 52,463.40

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Solution

The fourth proportional to 91,829.40, 137,744.10 and 52,463.40 is: 78,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,829.40 : 137,744.10 = 52,463.40 : x
  2. Step 2: Convert to fraction form
    91,829.40/137,744.10 = 52,463.40/x
  3. Step 3: Cross multiply
    91,829.40x = 137,744.10 × 52,463.40
  4. Step 4: Simplify right side
    91,829.40x = 7,226,523,815.94
  5. Step 5: Solve for x
    x = 7,226,523,815.94/91,829.40
  6. Step 6: Final answer
    x = 78,695.10

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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.