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Finding the Fourth Proportional to 75,872.95, 113,860.22 and 31,499.74

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Solution

The fourth proportional to 75,872.95, 113,860.22 and 31,499.74 is: 47,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,872.95 : 113,860.22 = 31,499.74 : x
  2. Step 2: Convert to fraction form
    75,872.95/113,860.22 = 31,499.74/x
  3. Step 3: Cross multiply
    75,872.95x = 113,860.22 × 31,499.74
  4. Step 4: Simplify right side
    75,872.95x = 3,586,567,326.34
  5. Step 5: Solve for x
    x = 3,586,567,326.34/75,872.95
  6. Step 6: Final answer
    x = 47,270.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.