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Finding the Fourth Proportional to 56,527.88, 78,009.38 and 31,377.38

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Solution

The fourth proportional to 56,527.88, 78,009.38 and 31,377.38 is: 43,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,527.88 : 78,009.38 = 31,377.38 : x
  2. Step 2: Convert to fraction form
    56,527.88/78,009.38 = 31,377.38/x
  3. Step 3: Cross multiply
    56,527.88x = 78,009.38 × 31,377.38
  4. Step 4: Simplify right side
    56,527.88x = 2,447,729,530.56
  5. Step 5: Solve for x
    x = 2,447,729,530.56/56,527.88
  6. Step 6: Final answer
    x = 43,301.28

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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.