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Finding the Fourth Proportional to 48,770.96, 73,148.96 and 15,486.71

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Solution

The fourth proportional to 48,770.96, 73,148.96 and 15,486.71 is: 23,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,770.96 : 73,148.96 = 15,486.71 : x
  2. Step 2: Convert to fraction form
    48,770.96/73,148.96 = 15,486.71/x
  3. Step 3: Cross multiply
    48,770.96x = 73,148.96 × 15,486.71
  4. Step 4: Simplify right side
    48,770.96x = 1,132,836,403.29
  5. Step 5: Solve for x
    x = 1,132,836,403.29/48,770.96
  6. Step 6: Final answer
    x = 23,227.69

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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.