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Finding the Fourth Proportional to 38,043.60, 56,790.48 and 33,378

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Solution

The fourth proportional to 38,043.60, 56,790.48 and 33,378 is: 49,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,043.60 : 56,790.48 = 33,378 : x
  2. Step 2: Convert to fraction form
    38,043.60/56,790.48 = 33,378/x
  3. Step 3: Cross multiply
    38,043.60x = 56,790.48 × 33,378
  4. Step 4: Simplify right side
    38,043.60x = 1,895,552,641.44
  5. Step 5: Solve for x
    x = 1,895,552,641.44/38,043.60
  6. Step 6: Final answer
    x = 49,825.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.