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Finding the Fourth Proportional to 47,654.64, 71,489.88 and 16,482.60

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Solution

The fourth proportional to 47,654.64, 71,489.88 and 16,482.60 is: 24,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654.64 : 71,489.88 = 16,482.60 : x
  2. Step 2: Convert to fraction form
    47,654.64/71,489.88 = 16,482.60/x
  3. Step 3: Cross multiply
    47,654.64x = 71,489.88 × 16,482.60
  4. Step 4: Simplify right side
    47,654.64x = 1,178,339,096.09
  5. Step 5: Solve for x
    x = 1,178,339,096.09/47,654.64
  6. Step 6: Final answer
    x = 24,726.64

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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.