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Finding the Fourth Proportional to 34,584.66, 47,729.25 and 19,680.66

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Solution

The fourth proportional to 34,584.66, 47,729.25 and 19,680.66 is: 27,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,584.66 : 47,729.25 = 19,680.66 : x
  2. Step 2: Convert to fraction form
    34,584.66/47,729.25 = 19,680.66/x
  3. Step 3: Cross multiply
    34,584.66x = 47,729.25 × 19,680.66
  4. Step 4: Simplify right side
    34,584.66x = 939,343,141.31
  5. Step 5: Solve for x
    x = 939,343,141.31/34,584.66
  6. Step 6: Final answer
    x = 27,160.69

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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.