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Finding the Fourth Proportional to 107,569, 161,362.02 and 32,695.64

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Solution

The fourth proportional to 107,569, 161,362.02 and 32,695.64 is: 49,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,569 : 161,362.02 = 32,695.64 : x
  2. Step 2: Convert to fraction form
    107,569/161,362.02 = 32,695.64/x
  3. Step 3: Cross multiply
    107,569x = 161,362.02 × 32,695.64
  4. Step 4: Simplify right side
    107,569x = 5,275,834,515.59
  5. Step 5: Solve for x
    x = 5,275,834,515.59/107,569
  6. Step 6: Final answer
    x = 49,046.05

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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.