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Finding the Fourth Proportional to 32,153.82, 48,232.08 and 8,780.19

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Solution

The fourth proportional to 32,153.82, 48,232.08 and 8,780.19 is: 13,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,153.82 : 48,232.08 = 8,780.19 : x
  2. Step 2: Convert to fraction form
    32,153.82/48,232.08 = 8,780.19/x
  3. Step 3: Cross multiply
    32,153.82x = 48,232.08 × 8,780.19
  4. Step 4: Simplify right side
    32,153.82x = 423,486,826.50
  5. Step 5: Solve for x
    x = 423,486,826.50/32,153.82
  6. Step 6: Final answer
    x = 13,170.65

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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.