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Finding the Fourth Proportional to 82,578.16, 123,867.24 and 35,830

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Solution

The fourth proportional to 82,578.16, 123,867.24 and 35,830 is: 53,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.16 : 123,867.24 = 35,830 : x
  2. Step 2: Convert to fraction form
    82,578.16/123,867.24 = 35,830/x
  3. Step 3: Cross multiply
    82,578.16x = 123,867.24 × 35,830
  4. Step 4: Simplify right side
    82,578.16x = 4,438,163,209.20
  5. Step 5: Solve for x
    x = 4,438,163,209.20/82,578.16
  6. Step 6: Final answer
    x = 53,745.00

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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.