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Finding the Fourth Proportional to 82,449.06, 123,682.50 and 26,275.97

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Solution

The fourth proportional to 82,449.06, 123,682.50 and 26,275.97 is: 39,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,449.06 : 123,682.50 = 26,275.97 : x
  2. Step 2: Convert to fraction form
    82,449.06/123,682.50 = 26,275.97/x
  3. Step 3: Cross multiply
    82,449.06x = 123,682.50 × 26,275.97
  4. Step 4: Simplify right side
    82,449.06x = 3,249,877,041.11
  5. Step 5: Solve for x
    x = 3,249,877,041.11/82,449.06
  6. Step 6: Final answer
    x = 39,416.79

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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.