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Finding the Fourth Proportional to 32,480.71, 48,724.16 and 9,107.08

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Solution

The fourth proportional to 32,480.71, 48,724.16 and 9,107.08 is: 13,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.71 : 48,724.16 = 9,107.08 : x
  2. Step 2: Convert to fraction form
    32,480.71/48,724.16 = 9,107.08/x
  3. Step 3: Cross multiply
    32,480.71x = 48,724.16 × 9,107.08
  4. Step 4: Simplify right side
    32,480.71x = 443,734,823.05
  5. Step 5: Solve for x
    x = 443,734,823.05/32,480.71
  6. Step 6: Final answer
    x = 13,661.49

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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.