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Finding the Fourth Proportional to 29,766.79, 41,078.14 and 16,338.08

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Solution

The fourth proportional to 29,766.79, 41,078.14 and 16,338.08 is: 22,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766.79 : 41,078.14 = 16,338.08 : x
  2. Step 2: Convert to fraction form
    29,766.79/41,078.14 = 16,338.08/x
  3. Step 3: Cross multiply
    29,766.79x = 41,078.14 × 16,338.08
  4. Step 4: Simplify right side
    29,766.79x = 671,137,937.57
  5. Step 5: Solve for x
    x = 671,137,937.57/29,766.79
  6. Step 6: Final answer
    x = 22,546.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.