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Finding the Fourth Proportional to 42,807.38, 59,074.38 and 23,944.50

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Solution

The fourth proportional to 42,807.38, 59,074.38 and 23,944.50 is: 33,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,807.38 : 59,074.38 = 23,944.50 : x
  2. Step 2: Convert to fraction form
    42,807.38/59,074.38 = 23,944.50/x
  3. Step 3: Cross multiply
    42,807.38x = 59,074.38 × 23,944.50
  4. Step 4: Simplify right side
    42,807.38x = 1,414,506,491.91
  5. Step 5: Solve for x
    x = 1,414,506,491.91/42,807.38
  6. Step 6: Final answer
    x = 33,043.52

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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.