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Finding the Fourth Proportional to 37,774.50, 56,646.63 and 11,474.34

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Solution

The fourth proportional to 37,774.50, 56,646.63 and 11,474.34 is: 17,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,774.50 : 56,646.63 = 11,474.34 : x
  2. Step 2: Convert to fraction form
    37,774.50/56,646.63 = 11,474.34/x
  3. Step 3: Cross multiply
    37,774.50x = 56,646.63 × 11,474.34
  4. Step 4: Simplify right side
    37,774.50x = 649,982,692.47
  5. Step 5: Solve for x
    x = 649,982,692.47/37,774.50
  6. Step 6: Final answer
    x = 17,206.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.