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Finding the Fourth Proportional to 32,856.49, 49,246.87 and 14,108.64

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Solution

The fourth proportional to 32,856.49, 49,246.87 and 14,108.64 is: 21,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.49 : 49,246.87 = 14,108.64 : x
  2. Step 2: Convert to fraction form
    32,856.49/49,246.87 = 14,108.64/x
  3. Step 3: Cross multiply
    32,856.49x = 49,246.87 × 14,108.64
  4. Step 4: Simplify right side
    32,856.49x = 694,806,359.96
  5. Step 5: Solve for x
    x = 694,806,359.96/32,856.49
  6. Step 6: Final answer
    x = 21,146.70

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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.