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Finding the Fourth Proportional to 32,946.50, 49,414.19 and 9,248.61

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Solution

The fourth proportional to 32,946.50, 49,414.19 and 9,248.61 is: 13,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.50 : 49,414.19 = 9,248.61 : x
  2. Step 2: Convert to fraction form
    32,946.50/49,414.19 = 9,248.61/x
  3. Step 3: Cross multiply
    32,946.50x = 49,414.19 × 9,248.61
  4. Step 4: Simplify right side
    32,946.50x = 457,012,571.78
  5. Step 5: Solve for x
    x = 457,012,571.78/32,946.50
  6. Step 6: Final answer
    x = 13,871.35

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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.