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Finding the Fourth Proportional to 92,614, 138,920.88 and 22,493.20

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Solution

The fourth proportional to 92,614, 138,920.88 and 22,493.20 is: 33,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,614 : 138,920.88 = 22,493.20 : x
  2. Step 2: Convert to fraction form
    92,614/138,920.88 = 22,493.20/x
  3. Step 3: Cross multiply
    92,614x = 138,920.88 × 22,493.20
  4. Step 4: Simplify right side
    92,614x = 3,124,775,138.02
  5. Step 5: Solve for x
    x = 3,124,775,138.02/92,614
  6. Step 6: Final answer
    x = 33,739.77

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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.