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Finding the Fourth Proportional to 117,382.94, 176,077.45 and 31,994.50

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Solution

The fourth proportional to 117,382.94, 176,077.45 and 31,994.50 is: 47,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,382.94 : 176,077.45 = 31,994.50 : x
  2. Step 2: Convert to fraction form
    117,382.94/176,077.45 = 31,994.50/x
  3. Step 3: Cross multiply
    117,382.94x = 176,077.45 × 31,994.50
  4. Step 4: Simplify right side
    117,382.94x = 5,633,510,354.20
  5. Step 5: Solve for x
    x = 5,633,510,354.20/117,382.94
  6. Step 6: Final answer
    x = 47,992.58

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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.