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Finding the Fourth Proportional to 83,045.18, 114,605.80 and 47,241.38

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Solution

The fourth proportional to 83,045.18, 114,605.80 and 47,241.38 is: 65,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,045.18 : 114,605.80 = 47,241.38 : x
  2. Step 2: Convert to fraction form
    83,045.18/114,605.80 = 47,241.38/x
  3. Step 3: Cross multiply
    83,045.18x = 114,605.80 × 47,241.38
  4. Step 4: Simplify right side
    83,045.18x = 5,414,136,148.00
  5. Step 5: Solve for x
    x = 5,414,136,148.00/83,045.18
  6. Step 6: Final answer
    x = 65,195.07

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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.