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Finding the Fourth Proportional to 47,654.73, 71,482.70 and 12,594.08

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Solution

The fourth proportional to 47,654.73, 71,482.70 and 12,594.08 is: 18,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654.73 : 71,482.70 = 12,594.08 : x
  2. Step 2: Convert to fraction form
    47,654.73/71,482.70 = 12,594.08/x
  3. Step 3: Cross multiply
    47,654.73x = 71,482.70 × 12,594.08
  4. Step 4: Simplify right side
    47,654.73x = 900,259,052.61
  5. Step 5: Solve for x
    x = 900,259,052.61/47,654.73
  6. Step 6: Final answer
    x = 18,891.28

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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.