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Finding the Fourth Proportional to 49,038.27, 67,670.82 and 27,817.08

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Solution

The fourth proportional to 49,038.27, 67,670.82 and 27,817.08 is: 38,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,038.27 : 67,670.82 = 27,817.08 : x
  2. Step 2: Convert to fraction form
    49,038.27/67,670.82 = 27,817.08/x
  3. Step 3: Cross multiply
    49,038.27x = 67,670.82 × 27,817.08
  4. Step 4: Simplify right side
    49,038.27x = 1,882,404,613.61
  5. Step 5: Solve for x
    x = 1,882,404,613.61/49,038.27
  6. Step 6: Final answer
    x = 38,386.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.