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Finding the Fourth Proportional to 45,096, 67,570.80 and 27,512.40

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Solution

The fourth proportional to 45,096, 67,570.80 and 27,512.40 is: 41,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096 : 67,570.80 = 27,512.40 : x
  2. Step 2: Convert to fraction form
    45,096/67,570.80 = 27,512.40/x
  3. Step 3: Cross multiply
    45,096x = 67,570.80 × 27,512.40
  4. Step 4: Simplify right side
    45,096x = 1,859,034,877.92
  5. Step 5: Solve for x
    x = 1,859,034,877.92/45,096
  6. Step 6: Final answer
    x = 41,223.94

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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.