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Finding the Fourth Proportional to 43,882.32, 65,833.16 and 20,496

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Solution

The fourth proportional to 43,882.32, 65,833.16 and 20,496 is: 30,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,882.32 : 65,833.16 = 20,496 : x
  2. Step 2: Convert to fraction form
    43,882.32/65,833.16 = 20,496/x
  3. Step 3: Cross multiply
    43,882.32x = 65,833.16 × 20,496
  4. Step 4: Simplify right side
    43,882.32x = 1,349,316,447.36
  5. Step 5: Solve for x
    x = 1,349,316,447.36/43,882.32
  6. Step 6: Final answer
    x = 30,748.52

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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.