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Finding the Fourth Proportional to 42,041.76, 58,041.36 and 27,913.92

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Solution

The fourth proportional to 42,041.76, 58,041.36 and 27,913.92 is: 38,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,041.76 : 58,041.36 = 27,913.92 : x
  2. Step 2: Convert to fraction form
    42,041.76/58,041.36 = 27,913.92/x
  3. Step 3: Cross multiply
    42,041.76x = 58,041.36 × 27,913.92
  4. Step 4: Simplify right side
    42,041.76x = 1,620,161,879.73
  5. Step 5: Solve for x
    x = 1,620,161,879.73/42,041.76
  6. Step 6: Final answer
    x = 38,536.97

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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.