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Finding the Fourth Proportional to 36,459.63, 54,689.67 and 10,164.60

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Solution

The fourth proportional to 36,459.63, 54,689.67 and 10,164.60 is: 15,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,459.63 : 54,689.67 = 10,164.60 : x
  2. Step 2: Convert to fraction form
    36,459.63/54,689.67 = 10,164.60/x
  3. Step 3: Cross multiply
    36,459.63x = 54,689.67 × 10,164.60
  4. Step 4: Simplify right side
    36,459.63x = 555,898,295.41
  5. Step 5: Solve for x
    x = 555,898,295.41/36,459.63
  6. Step 6: Final answer
    x = 15,246.96

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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.