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Finding the Fourth Proportional to 55,111.79, 75,983.86 and 35,696.44

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Solution

The fourth proportional to 55,111.79, 75,983.86 and 35,696.44 is: 49,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,111.79 : 75,983.86 = 35,696.44 : x
  2. Step 2: Convert to fraction form
    55,111.79/75,983.86 = 35,696.44/x
  3. Step 3: Cross multiply
    55,111.79x = 75,983.86 × 35,696.44
  4. Step 4: Simplify right side
    55,111.79x = 2,712,353,439.06
  5. Step 5: Solve for x
    x = 2,712,353,439.06/55,111.79
  6. Step 6: Final answer
    x = 49,215.48

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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.