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Finding the Fourth Proportional to 65,204.08, 89,980.14 and 38,340.70

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Solution

The fourth proportional to 65,204.08, 89,980.14 and 38,340.70 is: 52,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.08 : 89,980.14 = 38,340.70 : x
  2. Step 2: Convert to fraction form
    65,204.08/89,980.14 = 38,340.70/x
  3. Step 3: Cross multiply
    65,204.08x = 89,980.14 × 38,340.70
  4. Step 4: Simplify right side
    65,204.08x = 3,449,901,553.70
  5. Step 5: Solve for x
    x = 3,449,901,553.70/65,204.08
  6. Step 6: Final answer
    x = 52,909.29

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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.