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Finding the Fourth Proportional to 32,899.34, 49,348.20 and 10,411.58

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Solution

The fourth proportional to 32,899.34, 49,348.20 and 10,411.58 is: 15,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899.34 : 49,348.20 = 10,411.58 : x
  2. Step 2: Convert to fraction form
    32,899.34/49,348.20 = 10,411.58/x
  3. Step 3: Cross multiply
    32,899.34x = 49,348.20 × 10,411.58
  4. Step 4: Simplify right side
    32,899.34x = 513,792,732.16
  5. Step 5: Solve for x
    x = 513,792,732.16/32,899.34
  6. Step 6: Final answer
    x = 15,617.11

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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.