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Finding the Fourth Proportional to 82,957.40, 124,494.42 and 75,025.88

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Solution

The fourth proportional to 82,957.40, 124,494.42 and 75,025.88 is: 112,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.40 : 124,494.42 = 75,025.88 : x
  2. Step 2: Convert to fraction form
    82,957.40/124,494.42 = 75,025.88/x
  3. Step 3: Cross multiply
    82,957.40x = 124,494.42 × 75,025.88
  4. Step 4: Simplify right side
    82,957.40x = 9,340,303,415.59
  5. Step 5: Solve for x
    x = 9,340,303,415.59/82,957.40
  6. Step 6: Final answer
    x = 112,591.56

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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.