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Finding the Fourth Proportional to 38,543.94, 57,825.06 and 12,248.70

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Solution

The fourth proportional to 38,543.94, 57,825.06 and 12,248.70 is: 18,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.94 : 57,825.06 = 12,248.70 : x
  2. Step 2: Convert to fraction form
    38,543.94/57,825.06 = 12,248.70/x
  3. Step 3: Cross multiply
    38,543.94x = 57,825.06 × 12,248.70
  4. Step 4: Simplify right side
    38,543.94x = 708,281,812.42
  5. Step 5: Solve for x
    x = 708,281,812.42/38,543.94
  6. Step 6: Final answer
    x = 18,375.96

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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.