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Finding the Fourth Proportional to 83,269.41, 114,914.53 and 45,543.66

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Solution

The fourth proportional to 83,269.41, 114,914.53 and 45,543.66 is: 62,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269.41 : 114,914.53 = 45,543.66 : x
  2. Step 2: Convert to fraction form
    83,269.41/114,914.53 = 45,543.66/x
  3. Step 3: Cross multiply
    83,269.41x = 114,914.53 × 45,543.66
  4. Step 4: Simplify right side
    83,269.41x = 5,233,628,283.38
  5. Step 5: Solve for x
    x = 5,233,628,283.38/83,269.41
  6. Step 6: Final answer
    x = 62,851.75

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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.