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Finding the Fourth Proportional to 32,471.63, 48,702.56 and 10,282.13

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Solution

The fourth proportional to 32,471.63, 48,702.56 and 10,282.13 is: 15,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.63 : 48,702.56 = 10,282.13 : x
  2. Step 2: Convert to fraction form
    32,471.63/48,702.56 = 10,282.13/x
  3. Step 3: Cross multiply
    32,471.63x = 48,702.56 × 10,282.13
  4. Step 4: Simplify right side
    32,471.63x = 500,765,758.33
  5. Step 5: Solve for x
    x = 500,765,758.33/32,471.63
  6. Step 6: Final answer
    x = 15,421.64

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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.