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Finding the Fourth Proportional to 117,756, 176,590.80 and 38,846.88

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Solution

The fourth proportional to 117,756, 176,590.80 and 38,846.88 is: 58,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,756 : 176,590.80 = 38,846.88 : x
  2. Step 2: Convert to fraction form
    117,756/176,590.80 = 38,846.88/x
  3. Step 3: Cross multiply
    117,756x = 176,590.80 × 38,846.88
  4. Step 4: Simplify right side
    117,756x = 6,860,001,616.70
  5. Step 5: Solve for x
    x = 6,860,001,616.70/117,756
  6. Step 6: Final answer
    x = 58,256.07

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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.