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Finding the Fourth Proportional to 55,731.38, 76,907.27 and 31,856.63

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Solution

The fourth proportional to 55,731.38, 76,907.27 and 31,856.63 is: 43,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,731.38 : 76,907.27 = 31,856.63 : x
  2. Step 2: Convert to fraction form
    55,731.38/76,907.27 = 31,856.63/x
  3. Step 3: Cross multiply
    55,731.38x = 76,907.27 × 31,856.63
  4. Step 4: Simplify right side
    55,731.38x = 2,450,006,139.81
  5. Step 5: Solve for x
    x = 2,450,006,139.81/55,731.38
  6. Step 6: Final answer
    x = 43,960.98

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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.