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Finding the Fourth Proportional to 78,402.45, 108,193.95 and 42,592.08

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Solution

The fourth proportional to 78,402.45, 108,193.95 and 42,592.08 is: 58,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,402.45 : 108,193.95 = 42,592.08 : x
  2. Step 2: Convert to fraction form
    78,402.45/108,193.95 = 42,592.08/x
  3. Step 3: Cross multiply
    78,402.45x = 108,193.95 × 42,592.08
  4. Step 4: Simplify right side
    78,402.45x = 4,608,205,373.92
  5. Step 5: Solve for x
    x = 4,608,205,373.92/78,402.45
  6. Step 6: Final answer
    x = 58,776.29

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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.