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Finding the Fourth Proportional to 78,373.67, 108,200.49 and 51,594.02

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Solution

The fourth proportional to 78,373.67, 108,200.49 and 51,594.02 is: 71,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,373.67 : 108,200.49 = 51,594.02 : x
  2. Step 2: Convert to fraction form
    78,373.67/108,200.49 = 51,594.02/x
  3. Step 3: Cross multiply
    78,373.67x = 108,200.49 × 51,594.02
  4. Step 4: Simplify right side
    78,373.67x = 5,582,498,438.32
  5. Step 5: Solve for x
    x = 5,582,498,438.32/78,373.67
  6. Step 6: Final answer
    x = 71,229.26

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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.