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Finding the Fourth Proportional to 48,412, 66,803.60 and 27,193.76

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Solution

The fourth proportional to 48,412, 66,803.60 and 27,193.76 is: 37,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412 : 66,803.60 = 27,193.76 : x
  2. Step 2: Convert to fraction form
    48,412/66,803.60 = 27,193.76/x
  3. Step 3: Cross multiply
    48,412x = 66,803.60 × 27,193.76
  4. Step 4: Simplify right side
    48,412x = 1,816,641,065.54
  5. Step 5: Solve for x
    x = 1,816,641,065.54/48,412
  6. Step 6: Final answer
    x = 37,524.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.