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Finding the Fourth Proportional to 36,129.60, 54,216 and 12,775.68

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Solution

The fourth proportional to 36,129.60, 54,216 and 12,775.68 is: 19,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,129.60 : 54,216 = 12,775.68 : x
  2. Step 2: Convert to fraction form
    36,129.60/54,216 = 12,775.68/x
  3. Step 3: Cross multiply
    36,129.60x = 54,216 × 12,775.68
  4. Step 4: Simplify right side
    36,129.60x = 692,646,266.88
  5. Step 5: Solve for x
    x = 692,646,266.88/36,129.60
  6. Step 6: Final answer
    x = 19,171.16

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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.