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Finding the Fourth Proportional to 42,842.77, 59,114.77 and 27,733.33

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Solution

The fourth proportional to 42,842.77, 59,114.77 and 27,733.33 is: 38,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.77 : 59,114.77 = 27,733.33 : x
  2. Step 2: Convert to fraction form
    42,842.77/59,114.77 = 27,733.33/x
  3. Step 3: Cross multiply
    42,842.77x = 59,114.77 × 27,733.33
  4. Step 4: Simplify right side
    42,842.77x = 1,639,449,424.28
  5. Step 5: Solve for x
    x = 1,639,449,424.28/42,842.77
  6. Step 6: Final answer
    x = 38,266.65

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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.