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Finding the Fourth Proportional to 32,144.36, 48,215.10 and 8,770.72

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Solution

The fourth proportional to 32,144.36, 48,215.10 and 8,770.72 is: 13,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.36 : 48,215.10 = 8,770.72 : x
  2. Step 2: Convert to fraction form
    32,144.36/48,215.10 = 8,770.72/x
  3. Step 3: Cross multiply
    32,144.36x = 48,215.10 × 8,770.72
  4. Step 4: Simplify right side
    32,144.36x = 422,881,141.87
  5. Step 5: Solve for x
    x = 422,881,141.87/32,144.36
  6. Step 6: Final answer
    x = 13,155.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.