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Finding the Fourth Proportional to 56,976.46, 85,460.56 and 24,958.78

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Solution

The fourth proportional to 56,976.46, 85,460.56 and 24,958.78 is: 37,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,976.46 : 85,460.56 = 24,958.78 : x
  2. Step 2: Convert to fraction form
    56,976.46/85,460.56 = 24,958.78/x
  3. Step 3: Cross multiply
    56,976.46x = 85,460.56 × 24,958.78
  4. Step 4: Simplify right side
    56,976.46x = 2,132,990,888.41
  5. Step 5: Solve for x
    x = 2,132,990,888.41/56,976.46
  6. Step 6: Final answer
    x = 37,436.36

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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.