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Finding the Fourth Proportional to 49,015.46, 73,532.72 and 15,732.96

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Solution

The fourth proportional to 49,015.46, 73,532.72 and 15,732.96 is: 23,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,015.46 : 73,532.72 = 15,732.96 : x
  2. Step 2: Convert to fraction form
    49,015.46/73,532.72 = 15,732.96/x
  3. Step 3: Cross multiply
    49,015.46x = 73,532.72 × 15,732.96
  4. Step 4: Simplify right side
    49,015.46x = 1,156,887,263.79
  5. Step 5: Solve for x
    x = 1,156,887,263.79/49,015.46
  6. Step 6: Final answer
    x = 23,602.50

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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.