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Finding the Fourth Proportional to 52,159.80, 71,980.38 and 28,286.40

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Solution

The fourth proportional to 52,159.80, 71,980.38 and 28,286.40 is: 39,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,159.80 : 71,980.38 = 28,286.40 : x
  2. Step 2: Convert to fraction form
    52,159.80/71,980.38 = 28,286.40/x
  3. Step 3: Cross multiply
    52,159.80x = 71,980.38 × 28,286.40
  4. Step 4: Simplify right side
    52,159.80x = 2,036,065,820.83
  5. Step 5: Solve for x
    x = 2,036,065,820.83/52,159.80
  6. Step 6: Final answer
    x = 39,035.15

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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.