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Finding the Fourth Proportional to 92,196.98, 138,264.66 and 36,022.52

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Solution

The fourth proportional to 92,196.98, 138,264.66 and 36,022.52 is: 54,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,196.98 : 138,264.66 = 36,022.52 : x
  2. Step 2: Convert to fraction form
    92,196.98/138,264.66 = 36,022.52/x
  3. Step 3: Cross multiply
    92,196.98x = 138,264.66 × 36,022.52
  4. Step 4: Simplify right side
    92,196.98x = 4,980,641,480.14
  5. Step 5: Solve for x
    x = 4,980,641,480.14/92,196.98
  6. Step 6: Final answer
    x = 54,021.74

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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.