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Finding the Fourth Proportional to 55,689.15, 76,844.14 and 35,557.82

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Solution

The fourth proportional to 55,689.15, 76,844.14 and 35,557.82 is: 49,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689.15 : 76,844.14 = 35,557.82 : x
  2. Step 2: Convert to fraction form
    55,689.15/76,844.14 = 35,557.82/x
  3. Step 3: Cross multiply
    55,689.15x = 76,844.14 × 35,557.82
  4. Step 4: Simplify right side
    55,689.15x = 2,732,410,113.24
  5. Step 5: Solve for x
    x = 2,732,410,113.24/55,689.15
  6. Step 6: Final answer
    x = 49,065.39

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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.