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Finding the Fourth Proportional to 42,809.90, 59,074.45 and 23,943.38

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Solution

The fourth proportional to 42,809.90, 59,074.45 and 23,943.38 is: 33,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,809.90 : 59,074.45 = 23,943.38 : x
  2. Step 2: Convert to fraction form
    42,809.90/59,074.45 = 23,943.38/x
  3. Step 3: Cross multiply
    42,809.90x = 59,074.45 × 23,943.38
  4. Step 4: Simplify right side
    42,809.90x = 1,414,441,649.41
  5. Step 5: Solve for x
    x = 1,414,441,649.41/42,809.90
  6. Step 6: Final answer
    x = 33,040.06

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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.