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Finding the Fourth Proportional to 92,229.68, 138,363 and 33,069.98

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Solution

The fourth proportional to 92,229.68, 138,363 and 33,069.98 is: 49,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,229.68 : 138,363 = 33,069.98 : x
  2. Step 2: Convert to fraction form
    92,229.68/138,363 = 33,069.98/x
  3. Step 3: Cross multiply
    92,229.68x = 138,363 × 33,069.98
  4. Step 4: Simplify right side
    92,229.68x = 4,575,661,642.74
  5. Step 5: Solve for x
    x = 4,575,661,642.74/92,229.68
  6. Step 6: Final answer
    x = 49,611.60

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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.