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Finding the Fourth Proportional to 83,229.75, 114,857.06 and 45,504

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Solution

The fourth proportional to 83,229.75, 114,857.06 and 45,504 is: 62,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.75 : 114,857.06 = 45,504 : x
  2. Step 2: Convert to fraction form
    83,229.75/114,857.06 = 45,504/x
  3. Step 3: Cross multiply
    83,229.75x = 114,857.06 × 45,504
  4. Step 4: Simplify right side
    83,229.75x = 5,226,455,430.72
  5. Step 5: Solve for x
    x = 5,226,455,430.72/83,229.75
  6. Step 6: Final answer
    x = 62,795.52

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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.