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Finding the Fourth Proportional to 43,538.48, 65,315.28 and 15,830

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Solution

The fourth proportional to 43,538.48, 65,315.28 and 15,830 is: 23,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,538.48 : 65,315.28 = 15,830 : x
  2. Step 2: Convert to fraction form
    43,538.48/65,315.28 = 15,830/x
  3. Step 3: Cross multiply
    43,538.48x = 65,315.28 × 15,830
  4. Step 4: Simplify right side
    43,538.48x = 1,033,940,882.40
  5. Step 5: Solve for x
    x = 1,033,940,882.40/43,538.48
  6. Step 6: Final answer
    x = 23,747.75

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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.