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Finding the Fourth Proportional to 49,776.57, 68,642.78 and 42,243.57

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Solution

The fourth proportional to 49,776.57, 68,642.78 and 42,243.57 is: 58,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,776.57 : 68,642.78 = 42,243.57 : x
  2. Step 2: Convert to fraction form
    49,776.57/68,642.78 = 42,243.57/x
  3. Step 3: Cross multiply
    49,776.57x = 68,642.78 × 42,243.57
  4. Step 4: Simplify right side
    49,776.57x = 2,899,715,870.71
  5. Step 5: Solve for x
    x = 2,899,715,870.71/49,776.57
  6. Step 6: Final answer
    x = 58,254.63

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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.