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Finding the Fourth Proportional to 74,472.09, 102,794.99 and 47,614.70

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Solution

The fourth proportional to 74,472.09, 102,794.99 and 47,614.70 is: 65,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472.09 : 102,794.99 = 47,614.70 : x
  2. Step 2: Convert to fraction form
    74,472.09/102,794.99 = 47,614.70/x
  3. Step 3: Cross multiply
    74,472.09x = 102,794.99 × 47,614.70
  4. Step 4: Simplify right side
    74,472.09x = 4,894,552,986.38
  5. Step 5: Solve for x
    x = 4,894,552,986.38/74,472.09
  6. Step 6: Final answer
    x = 65,723.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.