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Finding the Fourth Proportional to 81,877.24, 113,004.36 and 47,416.96

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Solution

The fourth proportional to 81,877.24, 113,004.36 and 47,416.96 is: 65,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,877.24 : 113,004.36 = 47,416.96 : x
  2. Step 2: Convert to fraction form
    81,877.24/113,004.36 = 47,416.96/x
  3. Step 3: Cross multiply
    81,877.24x = 113,004.36 × 47,416.96
  4. Step 4: Simplify right side
    81,877.24x = 5,358,323,217.95
  5. Step 5: Solve for x
    x = 5,358,323,217.95/81,877.24
  6. Step 6: Final answer
    x = 65,443.38

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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.