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Finding the Fourth Proportional to 83,215, 114,837.11 and 45,489.25

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Solution

The fourth proportional to 83,215, 114,837.11 and 45,489.25 is: 62,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215 : 114,837.11 = 45,489.25 : x
  2. Step 2: Convert to fraction form
    83,215/114,837.11 = 45,489.25/x
  3. Step 3: Cross multiply
    83,215x = 114,837.11 × 45,489.25
  4. Step 4: Simplify right side
    83,215x = 5,223,854,006.07
  5. Step 5: Solve for x
    x = 5,223,854,006.07/83,215
  6. Step 6: Final answer
    x = 62,775.39

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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.