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Finding the Fourth Proportional to 48,251.72, 72,381.90 and 13,191.56

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Solution

The fourth proportional to 48,251.72, 72,381.90 and 13,191.56 is: 19,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,251.72 : 72,381.90 = 13,191.56 : x
  2. Step 2: Convert to fraction form
    48,251.72/72,381.90 = 13,191.56/x
  3. Step 3: Cross multiply
    48,251.72x = 72,381.90 × 13,191.56
  4. Step 4: Simplify right side
    48,251.72x = 954,830,176.76
  5. Step 5: Solve for x
    x = 954,830,176.76/48,251.72
  6. Step 6: Final answer
    x = 19,788.52

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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.