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Finding the Fourth Proportional to 41,780.84, 57,656.46 and 22,916.78

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Solution

The fourth proportional to 41,780.84, 57,656.46 and 22,916.78 is: 31,624.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780.84 : 57,656.46 = 22,916.78 : x
  2. Step 2: Convert to fraction form
    41,780.84/57,656.46 = 22,916.78/x
  3. Step 3: Cross multiply
    41,780.84x = 57,656.46 × 22,916.78
  4. Step 4: Simplify right side
    41,780.84x = 1,321,300,409.40
  5. Step 5: Solve for x
    x = 1,321,300,409.40/41,780.84
  6. Step 6: Final answer
    x = 31,624.55

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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.