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Finding the Fourth Proportional to 32,434.83, 48,648.63 and 8,744.75

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Solution

The fourth proportional to 32,434.83, 48,648.63 and 8,744.75 is: 13,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.83 : 48,648.63 = 8,744.75 : x
  2. Step 2: Convert to fraction form
    32,434.83/48,648.63 = 8,744.75/x
  3. Step 3: Cross multiply
    32,434.83x = 48,648.63 × 8,744.75
  4. Step 4: Simplify right side
    32,434.83x = 425,419,863.95
  5. Step 5: Solve for x
    x = 425,419,863.95/32,434.83
  6. Step 6: Final answer
    x = 13,116.14

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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.