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Finding the Fourth Proportional to 78,296.24, 117,422.76 and 22,131.92

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Solution

The fourth proportional to 78,296.24, 117,422.76 and 22,131.92 is: 33,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,296.24 : 117,422.76 = 22,131.92 : x
  2. Step 2: Convert to fraction form
    78,296.24/117,422.76 = 22,131.92/x
  3. Step 3: Cross multiply
    78,296.24x = 117,422.76 × 22,131.92
  4. Step 4: Simplify right side
    78,296.24x = 2,598,791,130.50
  5. Step 5: Solve for x
    x = 2,598,791,130.50/78,296.24
  6. Step 6: Final answer
    x = 33,191.77

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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.