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Finding the Fourth Proportional to 32,838.42, 49,264.83 and 10,654.04

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Solution

The fourth proportional to 32,838.42, 49,264.83 and 10,654.04 is: 15,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838.42 : 49,264.83 = 10,654.04 : x
  2. Step 2: Convert to fraction form
    32,838.42/49,264.83 = 10,654.04/x
  3. Step 3: Cross multiply
    32,838.42x = 49,264.83 × 10,654.04
  4. Step 4: Simplify right side
    32,838.42x = 524,869,223.09
  5. Step 5: Solve for x
    x = 524,869,223.09/32,838.42
  6. Step 6: Final answer
    x = 15,983.39

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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.