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Finding the Fourth Proportional to 77,117.99, 106,418.39 and 42,660.65

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Solution

The fourth proportional to 77,117.99, 106,418.39 and 42,660.65 is: 58,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,117.99 : 106,418.39 = 42,660.65 : x
  2. Step 2: Convert to fraction form
    77,117.99/106,418.39 = 42,660.65/x
  3. Step 3: Cross multiply
    77,117.99x = 106,418.39 × 42,660.65
  4. Step 4: Simplify right side
    77,117.99x = 4,539,876,943.96
  5. Step 5: Solve for x
    x = 4,539,876,943.96/77,117.99
  6. Step 6: Final answer
    x = 58,869.24

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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.