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Finding the Fourth Proportional to 37,771.34, 56,657.14 and 16,970.54

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Solution

The fourth proportional to 37,771.34, 56,657.14 and 16,970.54 is: 25,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,771.34 : 56,657.14 = 16,970.54 : x
  2. Step 2: Convert to fraction form
    37,771.34/56,657.14 = 16,970.54/x
  3. Step 3: Cross multiply
    37,771.34x = 56,657.14 × 16,970.54
  4. Step 4: Simplify right side
    37,771.34x = 961,502,260.66
  5. Step 5: Solve for x
    x = 961,502,260.66/37,771.34
  6. Step 6: Final answer
    x = 25,455.87

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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.