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Finding the Fourth Proportional to 47,200.52, 65,126.26 and 27,317

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Solution

The fourth proportional to 47,200.52, 65,126.26 and 27,317 is: 37,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,200.52 : 65,126.26 = 27,317 : x
  2. Step 2: Convert to fraction form
    47,200.52/65,126.26 = 27,317/x
  3. Step 3: Cross multiply
    47,200.52x = 65,126.26 × 27,317
  4. Step 4: Simplify right side
    47,200.52x = 1,779,054,044.42
  5. Step 5: Solve for x
    x = 1,779,054,044.42/47,200.52
  6. Step 6: Final answer
    x = 37,691.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.