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Finding the Fourth Proportional to 47,562.48, 65,635.56 and 27,419.40

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Solution

The fourth proportional to 47,562.48, 65,635.56 and 27,419.40 is: 37,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,562.48 : 65,635.56 = 27,419.40 : x
  2. Step 2: Convert to fraction form
    47,562.48/65,635.56 = 27,419.40/x
  3. Step 3: Cross multiply
    47,562.48x = 65,635.56 × 27,419.40
  4. Step 4: Simplify right side
    47,562.48x = 1,799,687,673.86
  5. Step 5: Solve for x
    x = 1,799,687,673.86/47,562.48
  6. Step 6: Final answer
    x = 37,838.39

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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.