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Finding the Fourth Proportional to 117,208.50, 175,799.84 and 32,971.32

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Solution

The fourth proportional to 117,208.50, 175,799.84 and 32,971.32 is: 49,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,208.50 : 175,799.84 = 32,971.32 : x
  2. Step 2: Convert to fraction form
    117,208.50/175,799.84 = 32,971.32/x
  3. Step 3: Cross multiply
    117,208.50x = 175,799.84 × 32,971.32
  4. Step 4: Simplify right side
    117,208.50x = 5,796,352,780.59
  5. Step 5: Solve for x
    x = 5,796,352,780.59/117,208.50
  6. Step 6: Final answer
    x = 49,453.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.