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Finding the Fourth Proportional to 43,875.52, 65,823 and 24,143.92

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Solution

The fourth proportional to 43,875.52, 65,823 and 24,143.92 is: 36,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,875.52 : 65,823 = 24,143.92 : x
  2. Step 2: Convert to fraction form
    43,875.52/65,823 = 24,143.92/x
  3. Step 3: Cross multiply
    43,875.52x = 65,823 × 24,143.92
  4. Step 4: Simplify right side
    43,875.52x = 1,589,225,246.16
  5. Step 5: Solve for x
    x = 1,589,225,246.16/43,875.52
  6. Step 6: Final answer
    x = 36,221.23

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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.