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Finding the Fourth Proportional to 32,574.66, 48,862.83 and 8,882.40

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Solution

The fourth proportional to 32,574.66, 48,862.83 and 8,882.40 is: 13,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574.66 : 48,862.83 = 8,882.40 : x
  2. Step 2: Convert to fraction form
    32,574.66/48,862.83 = 8,882.40/x
  3. Step 3: Cross multiply
    32,574.66x = 48,862.83 × 8,882.40
  4. Step 4: Simplify right side
    32,574.66x = 434,019,201.19
  5. Step 5: Solve for x
    x = 434,019,201.19/32,574.66
  6. Step 6: Final answer
    x = 13,323.83

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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.