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Finding the Fourth Proportional to 83,573.70, 125,471.79 and 48,538.50

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Solution

The fourth proportional to 83,573.70, 125,471.79 and 48,538.50 is: 72,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,573.70 : 125,471.79 = 48,538.50 : x
  2. Step 2: Convert to fraction form
    83,573.70/125,471.79 = 48,538.50/x
  3. Step 3: Cross multiply
    83,573.70x = 125,471.79 × 48,538.50
  4. Step 4: Simplify right side
    83,573.70x = 6,090,212,478.92
  5. Step 5: Solve for x
    x = 6,090,212,478.92/83,573.70
  6. Step 6: Final answer
    x = 72,872.36

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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.