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Finding the Fourth Proportional to 117,884, 176,824.27 and 29,137.51

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Solution

The fourth proportional to 117,884, 176,824.27 and 29,137.51 is: 43,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,884 : 176,824.27 = 29,137.51 : x
  2. Step 2: Convert to fraction form
    117,884/176,824.27 = 29,137.51/x
  3. Step 3: Cross multiply
    117,884x = 176,824.27 × 29,137.51
  4. Step 4: Simplify right side
    117,884x = 5,152,218,935.37
  5. Step 5: Solve for x
    x = 5,152,218,935.37/117,884
  6. Step 6: Final answer
    x = 43,705.84

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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.