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Finding the Fourth Proportional to 47,458.62, 71,197.02 and 15,878.64

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Solution

The fourth proportional to 47,458.62, 71,197.02 and 15,878.64 is: 23,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,458.62 : 71,197.02 = 15,878.64 : x
  2. Step 2: Convert to fraction form
    47,458.62/71,197.02 = 15,878.64/x
  3. Step 3: Cross multiply
    47,458.62x = 71,197.02 × 15,878.64
  4. Step 4: Simplify right side
    47,458.62x = 1,130,511,849.65
  5. Step 5: Solve for x
    x = 1,130,511,849.65/47,458.62
  6. Step 6: Final answer
    x = 23,821.00

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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.