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Finding the Fourth Proportional to 82,352.70, 123,529.05 and 48,672.90

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Solution

The fourth proportional to 82,352.70, 123,529.05 and 48,672.90 is: 73,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,352.70 : 123,529.05 = 48,672.90 : x
  2. Step 2: Convert to fraction form
    82,352.70/123,529.05 = 48,672.90/x
  3. Step 3: Cross multiply
    82,352.70x = 123,529.05 × 48,672.90
  4. Step 4: Simplify right side
    82,352.70x = 6,012,517,097.75
  5. Step 5: Solve for x
    x = 6,012,517,097.75/82,352.70
  6. Step 6: Final answer
    x = 73,009.35

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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.