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Finding the Fourth Proportional to 32,474.30, 48,716.30 and 28,284.17

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Solution

The fourth proportional to 32,474.30, 48,716.30 and 28,284.17 is: 42,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.30 : 48,716.30 = 28,284.17 : x
  2. Step 2: Convert to fraction form
    32,474.30/48,716.30 = 28,284.17/x
  3. Step 3: Cross multiply
    32,474.30x = 48,716.30 × 28,284.17
  4. Step 4: Simplify right side
    32,474.30x = 1,377,899,938.10
  5. Step 5: Solve for x
    x = 1,377,899,938.10/32,474.30
  6. Step 6: Final answer
    x = 42,430.48

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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.