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Finding the Fourth Proportional to 54,950.76, 75,866.12 and 42,179.50

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Solution

The fourth proportional to 54,950.76, 75,866.12 and 42,179.50 is: 58,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.76 : 75,866.12 = 42,179.50 : x
  2. Step 2: Convert to fraction form
    54,950.76/75,866.12 = 42,179.50/x
  3. Step 3: Cross multiply
    54,950.76x = 75,866.12 × 42,179.50
  4. Step 4: Simplify right side
    54,950.76x = 3,199,995,008.54
  5. Step 5: Solve for x
    x = 3,199,995,008.54/54,950.76
  6. Step 6: Final answer
    x = 58,233.86

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Why These Related Problems?

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