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Finding the Fourth Proportional to 78,102.54, 107,781.34 and 42,292.65

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Solution

The fourth proportional to 78,102.54, 107,781.34 and 42,292.65 is: 58,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,102.54 : 107,781.34 = 42,292.65 : x
  2. Step 2: Convert to fraction form
    78,102.54/107,781.34 = 42,292.65/x
  3. Step 3: Cross multiply
    78,102.54x = 107,781.34 × 42,292.65
  4. Step 4: Simplify right side
    78,102.54x = 4,558,358,489.15
  5. Step 5: Solve for x
    x = 4,558,358,489.15/78,102.54
  6. Step 6: Final answer
    x = 58,363.77

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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.