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Finding the Fourth Proportional to 83,316.53, 114,976.50 and 45,076.19

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Solution

The fourth proportional to 83,316.53, 114,976.50 and 45,076.19 is: 62,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,316.53 : 114,976.50 = 45,076.19 : x
  2. Step 2: Convert to fraction form
    83,316.53/114,976.50 = 45,076.19/x
  3. Step 3: Cross multiply
    83,316.53x = 114,976.50 × 45,076.19
  4. Step 4: Simplify right side
    83,316.53x = 5,182,701,984.65
  5. Step 5: Solve for x
    x = 5,182,701,984.65/83,316.53
  6. Step 6: Final answer
    x = 62,204.97

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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.