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Finding the Fourth Proportional to 65,058.12, 89,770.71 and 38,209.28

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Solution

The fourth proportional to 65,058.12, 89,770.71 and 38,209.28 is: 52,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,058.12 : 89,770.71 = 38,209.28 : x
  2. Step 2: Convert to fraction form
    65,058.12/89,770.71 = 38,209.28/x
  3. Step 3: Cross multiply
    65,058.12x = 89,770.71 × 38,209.28
  4. Step 4: Simplify right side
    65,058.12x = 3,430,074,439.22
  5. Step 5: Solve for x
    x = 3,430,074,439.22/65,058.12
  6. Step 6: Final answer
    x = 52,723.23

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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.