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Finding the Fourth Proportional to 132,952.73, 199,428.98 and 39,458.48

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Solution

The fourth proportional to 132,952.73, 199,428.98 and 39,458.48 is: 59,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,952.73 : 199,428.98 = 39,458.48 : x
  2. Step 2: Convert to fraction form
    132,952.73/199,428.98 = 39,458.48/x
  3. Step 3: Cross multiply
    132,952.73x = 199,428.98 × 39,458.48
  4. Step 4: Simplify right side
    132,952.73x = 7,869,163,224.31
  5. Step 5: Solve for x
    x = 7,869,163,224.31/132,952.73
  6. Step 6: Final answer
    x = 59,187.68

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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.