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Finding the Fourth Proportional to 58,843.12, 88,242.56 and 21,394

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Solution

The fourth proportional to 58,843.12, 88,242.56 and 21,394 is: 32,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,843.12 : 88,242.56 = 21,394 : x
  2. Step 2: Convert to fraction form
    58,843.12/88,242.56 = 21,394/x
  3. Step 3: Cross multiply
    58,843.12x = 88,242.56 × 21,394
  4. Step 4: Simplify right side
    58,843.12x = 1,887,861,328.64
  5. Step 5: Solve for x
    x = 1,887,861,328.64/58,843.12
  6. Step 6: Final answer
    x = 32,082.96

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Why These Related Problems?

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