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Finding the Fourth Proportional to 117,757, 176,592.30 and 38,847.88

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Solution

The fourth proportional to 117,757, 176,592.30 and 38,847.88 is: 58,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,757 : 176,592.30 = 38,847.88 : x
  2. Step 2: Convert to fraction form
    117,757/176,592.30 = 38,847.88/x
  3. Step 3: Cross multiply
    117,757x = 176,592.30 × 38,847.88
  4. Step 4: Simplify right side
    117,757x = 6,860,236,479.32
  5. Step 5: Solve for x
    x = 6,860,236,479.32/117,757
  6. Step 6: Final answer
    x = 58,257.57

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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.