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Finding the Fourth Proportional to 47,061, 70,620.66 and 27,348.84

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Solution

The fourth proportional to 47,061, 70,620.66 and 27,348.84 is: 41,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,061 : 70,620.66 = 27,348.84 : x
  2. Step 2: Convert to fraction form
    47,061/70,620.66 = 27,348.84/x
  3. Step 3: Cross multiply
    47,061x = 70,620.66 × 27,348.84
  4. Step 4: Simplify right side
    47,061x = 1,931,393,131.03
  5. Step 5: Solve for x
    x = 1,931,393,131.03/47,061
  6. Step 6: Final answer
    x = 41,040.21

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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.