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Finding the Fourth Proportional to 49,152.76, 73,729.12 and 12,216.76

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Solution

The fourth proportional to 49,152.76, 73,729.12 and 12,216.76 is: 18,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152.76 : 73,729.12 = 12,216.76 : x
  2. Step 2: Convert to fraction form
    49,152.76/73,729.12 = 12,216.76/x
  3. Step 3: Cross multiply
    49,152.76x = 73,729.12 × 12,216.76
  4. Step 4: Simplify right side
    49,152.76x = 900,730,964.05
  5. Step 5: Solve for x
    x = 900,730,964.05/49,152.76
  6. Step 6: Final answer
    x = 18,325.14

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1.5x scale

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.