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Finding the Fourth Proportional to 92,118.21, 137,891.28 and 49,893.42

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Solution

The fourth proportional to 92,118.21, 137,891.28 and 49,893.42 is: 74,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,118.21 : 137,891.28 = 49,893.42 : x
  2. Step 2: Convert to fraction form
    92,118.21/137,891.28 = 49,893.42/x
  3. Step 3: Cross multiply
    92,118.21x = 137,891.28 × 49,893.42
  4. Step 4: Simplify right side
    92,118.21x = 6,879,867,547.38
  5. Step 5: Solve for x
    x = 6,879,867,547.38/92,118.21
  6. Step 6: Final answer
    x = 74,685.21

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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.