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Finding the Fourth Proportional to 86,842.80, 130,069.80 and 51,850.80

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Solution

The fourth proportional to 86,842.80, 130,069.80 and 51,850.80 is: 77,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,842.80 : 130,069.80 = 51,850.80 : x
  2. Step 2: Convert to fraction form
    86,842.80/130,069.80 = 51,850.80/x
  3. Step 3: Cross multiply
    86,842.80x = 130,069.80 × 51,850.80
  4. Step 4: Simplify right side
    86,842.80x = 6,744,223,185.84
  5. Step 5: Solve for x
    x = 6,744,223,185.84/86,842.80
  6. Step 6: Final answer
    x = 77,660.13

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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.