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Finding the Fourth Proportional to 83,270.98, 114,916.67 and 45,545.23

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Solution

The fourth proportional to 83,270.98, 114,916.67 and 45,545.23 is: 62,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270.98 : 114,916.67 = 45,545.23 : x
  2. Step 2: Convert to fraction form
    83,270.98/114,916.67 = 45,545.23/x
  3. Step 3: Cross multiply
    83,270.98x = 114,916.67 × 45,545.23
  4. Step 4: Simplify right side
    83,270.98x = 5,233,906,165.98
  5. Step 5: Solve for x
    x = 5,233,906,165.98/83,270.98
  6. Step 6: Final answer
    x = 62,853.90

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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.