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Finding the Fourth Proportional to 39,876.64, 59,814.95 and 11,794.50

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Solution

The fourth proportional to 39,876.64, 59,814.95 and 11,794.50 is: 17,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,876.64 : 59,814.95 = 11,794.50 : x
  2. Step 2: Convert to fraction form
    39,876.64/59,814.95 = 11,794.50/x
  3. Step 3: Cross multiply
    39,876.64x = 59,814.95 × 11,794.50
  4. Step 4: Simplify right side
    39,876.64x = 705,487,570.20
  5. Step 5: Solve for x
    x = 705,487,570.20/39,876.64
  6. Step 6: Final answer
    x = 17,691.75

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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.