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Finding the Fourth Proportional to 32,902.34, 49,352.70 and 10,414.58

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Solution

The fourth proportional to 32,902.34, 49,352.70 and 10,414.58 is: 15,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.34 : 49,352.70 = 10,414.58 : x
  2. Step 2: Convert to fraction form
    32,902.34/49,352.70 = 10,414.58/x
  3. Step 3: Cross multiply
    32,902.34x = 49,352.70 × 10,414.58
  4. Step 4: Simplify right side
    32,902.34x = 513,987,642.37
  5. Step 5: Solve for x
    x = 513,987,642.37/32,902.34
  6. Step 6: Final answer
    x = 15,621.61

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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.