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Finding the Fourth Proportional to 117,346.50, 176,030.07 and 33,107.31

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Solution

The fourth proportional to 117,346.50, 176,030.07 and 33,107.31 is: 49,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,346.50 : 176,030.07 = 33,107.31 : x
  2. Step 2: Convert to fraction form
    117,346.50/176,030.07 = 33,107.31/x
  3. Step 3: Cross multiply
    117,346.50x = 176,030.07 × 33,107.31
  4. Step 4: Simplify right side
    117,346.50x = 5,827,882,096.81
  5. Step 5: Solve for x
    x = 5,827,882,096.81/117,346.50
  6. Step 6: Final answer
    x = 49,663.88

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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.