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Finding the Fourth Proportional to 75,805.08, 113,659.04 and 31,462.44

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Solution

The fourth proportional to 75,805.08, 113,659.04 and 31,462.44 is: 47,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,805.08 : 113,659.04 = 31,462.44 : x
  2. Step 2: Convert to fraction form
    75,805.08/113,659.04 = 31,462.44/x
  3. Step 3: Cross multiply
    75,805.08x = 113,659.04 × 31,462.44
  4. Step 4: Simplify right side
    75,805.08x = 3,575,990,726.46
  5. Step 5: Solve for x
    x = 3,575,990,726.46/75,805.08
  6. Step 6: Final answer
    x = 47,173.50

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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.