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Finding the Fourth Proportional to 69,834.78, 96,372 and 38,002.98

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Solution

The fourth proportional to 69,834.78, 96,372 and 38,002.98 is: 52,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,834.78 : 96,372 = 38,002.98 : x
  2. Step 2: Convert to fraction form
    69,834.78/96,372 = 38,002.98/x
  3. Step 3: Cross multiply
    69,834.78x = 96,372 × 38,002.98
  4. Step 4: Simplify right side
    69,834.78x = 3,662,423,188.56
  5. Step 5: Solve for x
    x = 3,662,423,188.56/69,834.78
  6. Step 6: Final answer
    x = 52,444.11

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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.