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Finding the Fourth Proportional to 55,432.38, 76,496.76 and 31,559.06

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Solution

The fourth proportional to 55,432.38, 76,496.76 and 31,559.06 is: 43,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,432.38 : 76,496.76 = 31,559.06 : x
  2. Step 2: Convert to fraction form
    55,432.38/76,496.76 = 31,559.06/x
  3. Step 3: Cross multiply
    55,432.38x = 76,496.76 × 31,559.06
  4. Step 4: Simplify right side
    55,432.38x = 2,414,165,838.65
  5. Step 5: Solve for x
    x = 2,414,165,838.65/55,432.38
  6. Step 6: Final answer
    x = 43,551.55

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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.