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Finding the Fourth Proportional to 55,292.80, 82,914.24 and 15,840.88

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Solution

The fourth proportional to 55,292.80, 82,914.24 and 15,840.88 is: 23,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,292.80 : 82,914.24 = 15,840.88 : x
  2. Step 2: Convert to fraction form
    55,292.80/82,914.24 = 15,840.88/x
  3. Step 3: Cross multiply
    55,292.80x = 82,914.24 × 15,840.88
  4. Step 4: Simplify right side
    55,292.80x = 1,313,434,526.13
  5. Step 5: Solve for x
    x = 1,313,434,526.13/55,292.80
  6. Step 6: Final answer
    x = 23,754.17

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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.