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Finding the Fourth Proportional to 48,096.99, 72,152.28 and 14,819.76

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Solution

The fourth proportional to 48,096.99, 72,152.28 and 14,819.76 is: 22,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,096.99 : 72,152.28 = 14,819.76 : x
  2. Step 2: Convert to fraction form
    48,096.99/72,152.28 = 14,819.76/x
  3. Step 3: Cross multiply
    48,096.99x = 72,152.28 × 14,819.76
  4. Step 4: Simplify right side
    48,096.99x = 1,069,279,473.05
  5. Step 5: Solve for x
    x = 1,069,279,473.05/48,096.99
  6. Step 6: Final answer
    x = 22,231.73

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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.