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Finding the Fourth Proportional to 55,842.77, 77,081.00 and 35,753.76

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Solution

The fourth proportional to 55,842.77, 77,081.00 and 35,753.76 is: 49,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,842.77 : 77,081.00 = 35,753.76 : x
  2. Step 2: Convert to fraction form
    55,842.77/77,081.00 = 35,753.76/x
  3. Step 3: Cross multiply
    55,842.77x = 77,081.00 × 35,753.76
  4. Step 4: Simplify right side
    55,842.77x = 2,755,935,395.79
  5. Step 5: Solve for x
    x = 2,755,935,395.79/55,842.77
  6. Step 6: Final answer
    x = 49,351.69

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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.