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Finding the Fourth Proportional to 78,062.98, 117,098.65 and 24,759.00

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Solution

The fourth proportional to 78,062.98, 117,098.65 and 24,759.00 is: 37,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062.98 : 117,098.65 = 24,759.00 : x
  2. Step 2: Convert to fraction form
    78,062.98/117,098.65 = 24,759.00/x
  3. Step 3: Cross multiply
    78,062.98x = 117,098.65 × 24,759.00
  4. Step 4: Simplify right side
    78,062.98x = 2,899,245,852.57
  5. Step 5: Solve for x
    x = 2,899,245,852.57/78,062.98
  6. Step 6: Final answer
    x = 37,139.83

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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.