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Finding the Fourth Proportional to 39,501, 59,261.22 and 11,799

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Solution

The fourth proportional to 39,501, 59,261.22 and 11,799 is: 17,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,501 : 59,261.22 = 11,799 : x
  2. Step 2: Convert to fraction form
    39,501/59,261.22 = 11,799/x
  3. Step 3: Cross multiply
    39,501x = 59,261.22 × 11,799
  4. Step 4: Simplify right side
    39,501x = 699,223,134.78
  5. Step 5: Solve for x
    x = 699,223,134.78/39,501
  6. Step 6: Final answer
    x = 17,701.40

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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.