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Finding the Fourth Proportional to 37,767.60, 56,649.60 and 12,805.20

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Solution

The fourth proportional to 37,767.60, 56,649.60 and 12,805.20 is: 19,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,767.60 : 56,649.60 = 12,805.20 : x
  2. Step 2: Convert to fraction form
    37,767.60/56,649.60 = 12,805.20/x
  3. Step 3: Cross multiply
    37,767.60x = 56,649.60 × 12,805.20
  4. Step 4: Simplify right side
    37,767.60x = 725,409,457.92
  5. Step 5: Solve for x
    x = 725,409,457.92/37,767.60
  6. Step 6: Final answer
    x = 19,207.19

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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.