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Finding the Fourth Proportional to 77,642.01, 116,508.17 and 32,660.08

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Solution

The fourth proportional to 77,642.01, 116,508.17 and 32,660.08 is: 49,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642.01 : 116,508.17 = 32,660.08 : x
  2. Step 2: Convert to fraction form
    77,642.01/116,508.17 = 32,660.08/x
  3. Step 3: Cross multiply
    77,642.01x = 116,508.17 × 32,660.08
  4. Step 4: Simplify right side
    77,642.01x = 3,805,165,943.23
  5. Step 5: Solve for x
    x = 3,805,165,943.23/77,642.01
  6. Step 6: Final answer
    x = 49,009.11

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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.