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Finding the Fourth Proportional to 106,698.78, 160,065.45 and 32,809.50

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Solution

The fourth proportional to 106,698.78, 160,065.45 and 32,809.50 is: 49,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,698.78 : 160,065.45 = 32,809.50 : x
  2. Step 2: Convert to fraction form
    106,698.78/160,065.45 = 32,809.50/x
  3. Step 3: Cross multiply
    106,698.78x = 160,065.45 × 32,809.50
  4. Step 4: Simplify right side
    106,698.78x = 5,251,667,381.78
  5. Step 5: Solve for x
    x = 5,251,667,381.78/106,698.78
  6. Step 6: Final answer
    x = 49,219.56

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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.