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Finding the Fourth Proportional to 71,369.80, 106,952.30 and 52,502.60

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Solution

The fourth proportional to 71,369.80, 106,952.30 and 52,502.60 is: 78,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,369.80 : 106,952.30 = 52,502.60 : x
  2. Step 2: Convert to fraction form
    71,369.80/106,952.30 = 52,502.60/x
  3. Step 3: Cross multiply
    71,369.80x = 106,952.30 × 52,502.60
  4. Step 4: Simplify right side
    71,369.80x = 5,615,273,825.98
  5. Step 5: Solve for x
    x = 5,615,273,825.98/71,369.80
  6. Step 6: Final answer
    x = 78,678.57

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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.