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Finding the Fourth Proportional to 55,016.15, 75,920.10 and 31,147.78

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Solution

The fourth proportional to 55,016.15, 75,920.10 and 31,147.78 is: 42,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,016.15 : 75,920.10 = 31,147.78 : x
  2. Step 2: Convert to fraction form
    55,016.15/75,920.10 = 31,147.78/x
  3. Step 3: Cross multiply
    55,016.15x = 75,920.10 × 31,147.78
  4. Step 4: Simplify right side
    55,016.15x = 2,364,742,572.38
  5. Step 5: Solve for x
    x = 2,364,742,572.38/55,016.15
  6. Step 6: Final answer
    x = 42,982.70

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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.