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Finding the Fourth Proportional to 65,458.72, 98,191.60 and 21,082.24

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Solution

The fourth proportional to 65,458.72, 98,191.60 and 21,082.24 is: 31,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.72 : 98,191.60 = 21,082.24 : x
  2. Step 2: Convert to fraction form
    65,458.72/98,191.60 = 21,082.24/x
  3. Step 3: Cross multiply
    65,458.72x = 98,191.60 × 21,082.24
  4. Step 4: Simplify right side
    65,458.72x = 2,070,098,877.18
  5. Step 5: Solve for x
    x = 2,070,098,877.18/65,458.72
  6. Step 6: Final answer
    x = 31,624.49

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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.