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Finding the Fourth Proportional to 41,701, 57,547.38 and 22,838.80

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Solution

The fourth proportional to 41,701, 57,547.38 and 22,838.80 is: 31,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,701 : 57,547.38 = 22,838.80 : x
  2. Step 2: Convert to fraction form
    41,701/57,547.38 = 22,838.80/x
  3. Step 3: Cross multiply
    41,701x = 57,547.38 × 22,838.80
  4. Step 4: Simplify right side
    41,701x = 1,314,313,102.34
  5. Step 5: Solve for x
    x = 1,314,313,102.34/41,701
  6. Step 6: Final answer
    x = 31,517.54

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1.5x scale

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.