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Finding the Fourth Proportional to 77,491.91, 106,934.38 and 43,497.23

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Solution

The fourth proportional to 77,491.91, 106,934.38 and 43,497.23 is: 60,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491.91 : 106,934.38 = 43,497.23 : x
  2. Step 2: Convert to fraction form
    77,491.91/106,934.38 = 43,497.23/x
  3. Step 3: Cross multiply
    77,491.91x = 106,934.38 × 43,497.23
  4. Step 4: Simplify right side
    77,491.91x = 4,651,349,697.85
  5. Step 5: Solve for x
    x = 4,651,349,697.85/77,491.91
  6. Step 6: Final answer
    x = 60,023.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.