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Finding the Fourth Proportional to 56,456.80, 84,657.84 and 17,006.56

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Solution

The fourth proportional to 56,456.80, 84,657.84 and 17,006.56 is: 25,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,456.80 : 84,657.84 = 17,006.56 : x
  2. Step 2: Convert to fraction form
    56,456.80/84,657.84 = 17,006.56/x
  3. Step 3: Cross multiply
    56,456.80x = 84,657.84 × 17,006.56
  4. Step 4: Simplify right side
    56,456.80x = 1,439,738,635.43
  5. Step 5: Solve for x
    x = 1,439,738,635.43/56,456.80
  6. Step 6: Final answer
    x = 25,501.60

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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.