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Finding the Fourth Proportional to 72,315.40, 108,473.10 and 71,659.30

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Solution

The fourth proportional to 72,315.40, 108,473.10 and 71,659.30 is: 107,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,315.40 : 108,473.10 = 71,659.30 : x
  2. Step 2: Convert to fraction form
    72,315.40/108,473.10 = 71,659.30/x
  3. Step 3: Cross multiply
    72,315.40x = 108,473.10 × 71,659.30
  4. Step 4: Simplify right side
    72,315.40x = 7,773,106,414.83
  5. Step 5: Solve for x
    x = 7,773,106,414.83/72,315.40
  6. Step 6: Final answer
    x = 107,488.95

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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.