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Finding the Fourth Proportional to 78,175.92, 117,263.88 and 22,016.04

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Solution

The fourth proportional to 78,175.92, 117,263.88 and 22,016.04 is: 33,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.92 : 117,263.88 = 22,016.04 : x
  2. Step 2: Convert to fraction form
    78,175.92/117,263.88 = 22,016.04/x
  3. Step 3: Cross multiply
    78,175.92x = 117,263.88 × 22,016.04
  4. Step 4: Simplify right side
    78,175.92x = 2,581,686,272.64
  5. Step 5: Solve for x
    x = 2,581,686,272.64/78,175.92
  6. Step 6: Final answer
    x = 33,024.06

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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.