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Finding the Fourth Proportional to 32,601.42, 48,901.61 and 10,414.65

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Solution

The fourth proportional to 32,601.42, 48,901.61 and 10,414.65 is: 15,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.42 : 48,901.61 = 10,414.65 : x
  2. Step 2: Convert to fraction form
    32,601.42/48,901.61 = 10,414.65/x
  3. Step 3: Cross multiply
    32,601.42x = 48,901.61 × 10,414.65
  4. Step 4: Simplify right side
    32,601.42x = 509,293,100.51
  5. Step 5: Solve for x
    x = 509,293,100.51/32,601.42
  6. Step 6: Final answer
    x = 15,621.81

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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.