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Finding the Fourth Proportional to 37,765.60, 56,649.68 and 11,470.25

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Solution

The fourth proportional to 37,765.60, 56,649.68 and 11,470.25 is: 17,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,765.60 : 56,649.68 = 11,470.25 : x
  2. Step 2: Convert to fraction form
    37,765.60/56,649.68 = 11,470.25/x
  3. Step 3: Cross multiply
    37,765.60x = 56,649.68 × 11,470.25
  4. Step 4: Simplify right side
    37,765.60x = 649,785,992.02
  5. Step 5: Solve for x
    x = 649,785,992.02/37,765.60
  6. Step 6: Final answer
    x = 17,205.76

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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.