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Finding the Fourth Proportional to 39,394.50, 59,101.50 and 11,692.50

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Solution

The fourth proportional to 39,394.50, 59,101.50 and 11,692.50 is: 17,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,394.50 : 59,101.50 = 11,692.50 : x
  2. Step 2: Convert to fraction form
    39,394.50/59,101.50 = 11,692.50/x
  3. Step 3: Cross multiply
    39,394.50x = 59,101.50 × 11,692.50
  4. Step 4: Simplify right side
    39,394.50x = 691,044,288.75
  5. Step 5: Solve for x
    x = 691,044,288.75/39,394.50
  6. Step 6: Final answer
    x = 17,541.64

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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.