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Finding the Fourth Proportional to 32,382.19, 48,586.73 and 15,506.71

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Solution

The fourth proportional to 32,382.19, 48,586.73 and 15,506.71 is: 23,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.19 : 48,586.73 = 15,506.71 : x
  2. Step 2: Convert to fraction form
    32,382.19/48,586.73 = 15,506.71/x
  3. Step 3: Cross multiply
    32,382.19x = 48,586.73 × 15,506.71
  4. Step 4: Simplify right side
    32,382.19x = 753,420,331.96
  5. Step 5: Solve for x
    x = 753,420,331.96/32,382.19
  6. Step 6: Final answer
    x = 23,266.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.