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Finding the Fourth Proportional to 56,351.38, 77,767.33 and 31,200.88

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Solution

The fourth proportional to 56,351.38, 77,767.33 and 31,200.88 is: 43,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,351.38 : 77,767.33 = 31,200.88 : x
  2. Step 2: Convert to fraction form
    56,351.38/77,767.33 = 31,200.88/x
  3. Step 3: Cross multiply
    56,351.38x = 77,767.33 × 31,200.88
  4. Step 4: Simplify right side
    56,351.38x = 2,426,408,742.41
  5. Step 5: Solve for x
    x = 2,426,408,742.41/56,351.38
  6. Step 6: Final answer
    x = 43,058.55

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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.