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Finding the Fourth Proportional to 48,770.76, 73,158.84 and 15,488.40

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Solution

The fourth proportional to 48,770.76, 73,158.84 and 15,488.40 is: 23,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,770.76 : 73,158.84 = 15,488.40 : x
  2. Step 2: Convert to fraction form
    48,770.76/73,158.84 = 15,488.40/x
  3. Step 3: Cross multiply
    48,770.76x = 73,158.84 × 15,488.40
  4. Step 4: Simplify right side
    48,770.76x = 1,133,113,377.46
  5. Step 5: Solve for x
    x = 1,133,113,377.46/48,770.76
  6. Step 6: Final answer
    x = 23,233.46

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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.