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Finding the Fourth Proportional to 75,585, 113,379.96 and 22,995

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Solution

The fourth proportional to 75,585, 113,379.96 and 22,995 is: 34,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,585 : 113,379.96 = 22,995 : x
  2. Step 2: Convert to fraction form
    75,585/113,379.96 = 22,995/x
  3. Step 3: Cross multiply
    75,585x = 113,379.96 × 22,995
  4. Step 4: Simplify right side
    75,585x = 2,607,172,180.20
  5. Step 5: Solve for x
    x = 2,607,172,180.20/75,585
  6. Step 6: Final answer
    x = 34,493.25

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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.