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Finding the Fourth Proportional to 69,842.98, 104,764.47 and 17,253.46

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Solution

The fourth proportional to 69,842.98, 104,764.47 and 17,253.46 is: 25,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,842.98 : 104,764.47 = 17,253.46 : x
  2. Step 2: Convert to fraction form
    69,842.98/104,764.47 = 17,253.46/x
  3. Step 3: Cross multiply
    69,842.98x = 104,764.47 × 17,253.46
  4. Step 4: Simplify right side
    69,842.98x = 1,807,549,592.57
  5. Step 5: Solve for x
    x = 1,807,549,592.57/69,842.98
  6. Step 6: Final answer
    x = 25,880.19

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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.