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Finding the Fourth Proportional to 83,075.68, 114,626.92 and 52,850

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Solution

The fourth proportional to 83,075.68, 114,626.92 and 52,850 is: 72,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075.68 : 114,626.92 = 52,850 : x
  2. Step 2: Convert to fraction form
    83,075.68/114,626.92 = 52,850/x
  3. Step 3: Cross multiply
    83,075.68x = 114,626.92 × 52,850
  4. Step 4: Simplify right side
    83,075.68x = 6,058,032,722
  5. Step 5: Solve for x
    x = 6,058,032,722/83,075.68
  6. Step 6: Final answer
    x = 72,921.86

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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.