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Finding the Fourth Proportional to 56,233.60, 84,382.80 and 21,198.40

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Solution

The fourth proportional to 56,233.60, 84,382.80 and 21,198.40 is: 31,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,233.60 : 84,382.80 = 21,198.40 : x
  2. Step 2: Convert to fraction form
    56,233.60/84,382.80 = 21,198.40/x
  3. Step 3: Cross multiply
    56,233.60x = 84,382.80 × 21,198.40
  4. Step 4: Simplify right side
    56,233.60x = 1,788,780,347.52
  5. Step 5: Solve for x
    x = 1,788,780,347.52/56,233.60
  6. Step 6: Final answer
    x = 31,809.81

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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.