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Finding the Fourth Proportional to 107,710.94, 161,572.44 and 32,833.52

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Solution

The fourth proportional to 107,710.94, 161,572.44 and 32,833.52 is: 49,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,710.94 : 161,572.44 = 32,833.52 : x
  2. Step 2: Convert to fraction form
    107,710.94/161,572.44 = 32,833.52/x
  3. Step 3: Cross multiply
    107,710.94x = 161,572.44 × 32,833.52
  4. Step 4: Simplify right side
    107,710.94x = 5,304,991,940.19
  5. Step 5: Solve for x
    x = 5,304,991,940.19/107,710.94
  6. Step 6: Final answer
    x = 49,252.12

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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.