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Finding the Fourth Proportional to 117,837, 176,789.52 and 34,731

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Solution

The fourth proportional to 117,837, 176,789.52 and 34,731 is: 52,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,837 : 176,789.52 = 34,731 : x
  2. Step 2: Convert to fraction form
    117,837/176,789.52 = 34,731/x
  3. Step 3: Cross multiply
    117,837x = 176,789.52 × 34,731
  4. Step 4: Simplify right side
    117,837x = 6,140,076,819.12
  5. Step 5: Solve for x
    x = 6,140,076,819.12/117,837
  6. Step 6: Final answer
    x = 52,106.53

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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.