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Finding the Fourth Proportional to 86,770.80, 130,204.80 and 36,842.40

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Solution

The fourth proportional to 86,770.80, 130,204.80 and 36,842.40 is: 55,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,770.80 : 130,204.80 = 36,842.40 : x
  2. Step 2: Convert to fraction form
    86,770.80/130,204.80 = 36,842.40/x
  3. Step 3: Cross multiply
    86,770.80x = 130,204.80 × 36,842.40
  4. Step 4: Simplify right side
    86,770.80x = 4,797,057,323.52
  5. Step 5: Solve for x
    x = 4,797,057,323.52/86,770.80
  6. Step 6: Final answer
    x = 55,284.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.