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Finding the Fourth Proportional to 32,138.40, 48,171.60 and 15,506.40

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Solution

The fourth proportional to 32,138.40, 48,171.60 and 15,506.40 is: 23,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,138.40 : 48,171.60 = 15,506.40 : x
  2. Step 2: Convert to fraction form
    32,138.40/48,171.60 = 15,506.40/x
  3. Step 3: Cross multiply
    32,138.40x = 48,171.60 × 15,506.40
  4. Step 4: Simplify right side
    32,138.40x = 746,968,098.24
  5. Step 5: Solve for x
    x = 746,968,098.24/32,138.40
  6. Step 6: Final answer
    x = 23,242.23

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1.5x scale

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.