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Finding the Fourth Proportional to 37,859.50, 56,789.40 and 11,564.17

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Solution

The fourth proportional to 37,859.50, 56,789.40 and 11,564.17 is: 17,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,859.50 : 56,789.40 = 11,564.17 : x
  2. Step 2: Convert to fraction form
    37,859.50/56,789.40 = 11,564.17/x
  3. Step 3: Cross multiply
    37,859.50x = 56,789.40 × 11,564.17
  4. Step 4: Simplify right side
    37,859.50x = 656,722,177.19
  5. Step 5: Solve for x
    x = 656,722,177.19/37,859.50
  6. Step 6: Final answer
    x = 17,346.30

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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.