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Finding the Fourth Proportional to 32,141.04, 48,213.86 and 9,951.57

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Solution

The fourth proportional to 32,141.04, 48,213.86 and 9,951.57 is: 14,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.04 : 48,213.86 = 9,951.57 : x
  2. Step 2: Convert to fraction form
    32,141.04/48,213.86 = 9,951.57/x
  3. Step 3: Cross multiply
    32,141.04x = 48,213.86 × 9,951.57
  4. Step 4: Simplify right side
    32,141.04x = 479,803,553.00
  5. Step 5: Solve for x
    x = 479,803,553.00/32,141.04
  6. Step 6: Final answer
    x = 14,928.07

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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.