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Finding the Fourth Proportional to 83,010.16, 114,555.84 and 45,284.38

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Solution

The fourth proportional to 83,010.16, 114,555.84 and 45,284.38 is: 62,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,010.16 : 114,555.84 = 45,284.38 : x
  2. Step 2: Convert to fraction form
    83,010.16/114,555.84 = 45,284.38/x
  3. Step 3: Cross multiply
    83,010.16x = 114,555.84 × 45,284.38
  4. Step 4: Simplify right side
    83,010.16x = 5,187,590,189.78
  5. Step 5: Solve for x
    x = 5,187,590,189.78/83,010.16
  6. Step 6: Final answer
    x = 62,493.44

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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.