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Finding the Fourth Proportional to 78,298.98, 108,053.38 and 42,489.30

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Solution

The fourth proportional to 78,298.98, 108,053.38 and 42,489.30 is: 58,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,298.98 : 108,053.38 = 42,489.30 : x
  2. Step 2: Convert to fraction form
    78,298.98/108,053.38 = 42,489.30/x
  3. Step 3: Cross multiply
    78,298.98x = 108,053.38 × 42,489.30
  4. Step 4: Simplify right side
    78,298.98x = 4,591,112,478.83
  5. Step 5: Solve for x
    x = 4,591,112,478.83/78,298.98
  6. Step 6: Final answer
    x = 58,635.66

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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.