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Finding the Fourth Proportional to 32,325.30, 48,488.58 and 10,138.20

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Solution

The fourth proportional to 32,325.30, 48,488.58 and 10,138.20 is: 15,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,325.30 : 48,488.58 = 10,138.20 : x
  2. Step 2: Convert to fraction form
    32,325.30/48,488.58 = 10,138.20/x
  3. Step 3: Cross multiply
    32,325.30x = 48,488.58 × 10,138.20
  4. Step 4: Simplify right side
    32,325.30x = 491,586,921.76
  5. Step 5: Solve for x
    x = 491,586,921.76/32,325.30
  6. Step 6: Final answer
    x = 15,207.50

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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.