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Finding the Fourth Proportional to 71,901.66, 107,813.54 and 32,412.54

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Solution

The fourth proportional to 71,901.66, 107,813.54 and 32,412.54 is: 48,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,901.66 : 107,813.54 = 32,412.54 : x
  2. Step 2: Convert to fraction form
    71,901.66/107,813.54 = 32,412.54/x
  3. Step 3: Cross multiply
    71,901.66x = 107,813.54 × 32,412.54
  4. Step 4: Simplify right side
    71,901.66x = 3,494,510,677.79
  5. Step 5: Solve for x
    x = 3,494,510,677.79/71,901.66
  6. Step 6: Final answer
    x = 48,601.25

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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.