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Finding the Fourth Proportional to 56,471.49, 77,931.38 and 30,976.19

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Solution

The fourth proportional to 56,471.49, 77,931.38 and 30,976.19 is: 42,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,471.49 : 77,931.38 = 30,976.19 : x
  2. Step 2: Convert to fraction form
    56,471.49/77,931.38 = 30,976.19/x
  3. Step 3: Cross multiply
    56,471.49x = 77,931.38 × 30,976.19
  4. Step 4: Simplify right side
    56,471.49x = 2,414,017,233.84
  5. Step 5: Solve for x
    x = 2,414,017,233.84/56,471.49
  6. Step 6: Final answer
    x = 42,747.54

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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.