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Finding the Fourth Proportional to 47,482.65, 71,197.69 and 19,422.41

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Solution

The fourth proportional to 47,482.65, 71,197.69 and 19,422.41 is: 29,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,482.65 : 71,197.69 = 19,422.41 : x
  2. Step 2: Convert to fraction form
    47,482.65/71,197.69 = 19,422.41/x
  3. Step 3: Cross multiply
    47,482.65x = 71,197.69 × 19,422.41
  4. Step 4: Simplify right side
    47,482.65x = 1,382,830,776.78
  5. Step 5: Solve for x
    x = 1,382,830,776.78/47,482.65
  6. Step 6: Final answer
    x = 29,122.86

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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.