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Finding the Fourth Proportional to 39,784.80, 59,662.80 and 16,082.40

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Solution

The fourth proportional to 39,784.80, 59,662.80 and 16,082.40 is: 24,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784.80 : 59,662.80 = 16,082.40 : x
  2. Step 2: Convert to fraction form
    39,784.80/59,662.80 = 16,082.40/x
  3. Step 3: Cross multiply
    39,784.80x = 59,662.80 × 16,082.40
  4. Step 4: Simplify right side
    39,784.80x = 959,521,014.72
  5. Step 5: Solve for x
    x = 959,521,014.72/39,784.80
  6. Step 6: Final answer
    x = 24,117.78

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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.