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Finding the Fourth Proportional to 32,944.50, 49,411.19 and 9,246.61

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Solution

The fourth proportional to 32,944.50, 49,411.19 and 9,246.61 is: 13,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944.50 : 49,411.19 = 9,246.61 : x
  2. Step 2: Convert to fraction form
    32,944.50/49,411.19 = 9,246.61/x
  3. Step 3: Cross multiply
    32,944.50x = 49,411.19 × 9,246.61
  4. Step 4: Simplify right side
    32,944.50x = 456,885,856.92
  5. Step 5: Solve for x
    x = 456,885,856.92/32,944.50
  6. Step 6: Final answer
    x = 13,868.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.