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Finding the Fourth Proportional to 65,189.40, 97,784.10 and 25,726.20

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Solution

The fourth proportional to 65,189.40, 97,784.10 and 25,726.20 is: 38,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.40 : 97,784.10 = 25,726.20 : x
  2. Step 2: Convert to fraction form
    65,189.40/97,784.10 = 25,726.20/x
  3. Step 3: Cross multiply
    65,189.40x = 97,784.10 × 25,726.20
  4. Step 4: Simplify right side
    65,189.40x = 2,515,613,313.42
  5. Step 5: Solve for x
    x = 2,515,613,313.42/65,189.40
  6. Step 6: Final answer
    x = 38,589.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.