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Finding the Fourth Proportional to 32,441.76, 48,655.20 and 9,070.56

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Solution

The fourth proportional to 32,441.76, 48,655.20 and 9,070.56 is: 13,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.76 : 48,655.20 = 9,070.56 : x
  2. Step 2: Convert to fraction form
    32,441.76/48,655.20 = 9,070.56/x
  3. Step 3: Cross multiply
    32,441.76x = 48,655.20 × 9,070.56
  4. Step 4: Simplify right side
    32,441.76x = 441,329,910.91
  5. Step 5: Solve for x
    x = 441,329,910.91/32,441.76
  6. Step 6: Final answer
    x = 13,603.76

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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.