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Finding the Fourth Proportional to 32,174.28, 48,265.92 and 9,989.28

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Solution

The fourth proportional to 32,174.28, 48,265.92 and 9,989.28 is: 14,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,174.28 : 48,265.92 = 9,989.28 : x
  2. Step 2: Convert to fraction form
    32,174.28/48,265.92 = 9,989.28/x
  3. Step 3: Cross multiply
    32,174.28x = 48,265.92 × 9,989.28
  4. Step 4: Simplify right side
    32,174.28x = 482,141,789.34
  5. Step 5: Solve for x
    x = 482,141,789.34/32,174.28
  6. Step 6: Final answer
    x = 14,985.32

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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.