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Finding the Fourth Proportional to 78,084.92, 117,127.04 and 18,920.52

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Solution

The fourth proportional to 78,084.92, 117,127.04 and 18,920.52 is: 28,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084.92 : 117,127.04 = 18,920.52 : x
  2. Step 2: Convert to fraction form
    78,084.92/117,127.04 = 18,920.52/x
  3. Step 3: Cross multiply
    78,084.92x = 117,127.04 × 18,920.52
  4. Step 4: Simplify right side
    78,084.92x = 2,216,104,502.86
  5. Step 5: Solve for x
    x = 2,216,104,502.86/78,084.92
  6. Step 6: Final answer
    x = 28,380.70

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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.