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Finding the Fourth Proportional to 83,089.33, 114,663.40 and 45,363.58

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Solution

The fourth proportional to 83,089.33, 114,663.40 and 45,363.58 is: 62,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.33 : 114,663.40 = 45,363.58 : x
  2. Step 2: Convert to fraction form
    83,089.33/114,663.40 = 45,363.58/x
  3. Step 3: Cross multiply
    83,089.33x = 114,663.40 × 45,363.58
  4. Step 4: Simplify right side
    83,089.33x = 5,201,541,918.90
  5. Step 5: Solve for x
    x = 5,201,541,918.90/83,089.33
  6. Step 6: Final answer
    x = 62,601.81

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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.