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Finding the Fourth Proportional to 47,886.84, 71,830.39 and 47,817.64

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Solution

The fourth proportional to 47,886.84, 71,830.39 and 47,817.64 is: 71,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,886.84 : 71,830.39 = 47,817.64 : x
  2. Step 2: Convert to fraction form
    47,886.84/71,830.39 = 47,817.64/x
  3. Step 3: Cross multiply
    47,886.84x = 71,830.39 × 47,817.64
  4. Step 4: Simplify right side
    47,886.84x = 3,434,760,134.93
  5. Step 5: Solve for x
    x = 3,434,760,134.93/47,886.84
  6. Step 6: Final answer
    x = 71,726.59

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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.