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Finding the Fourth Proportional to 36,478.52, 54,742.40 and 14,289.13

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Solution

The fourth proportional to 36,478.52, 54,742.40 and 14,289.13 is: 21,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.52 : 54,742.40 = 14,289.13 : x
  2. Step 2: Convert to fraction form
    36,478.52/54,742.40 = 14,289.13/x
  3. Step 3: Cross multiply
    36,478.52x = 54,742.40 × 14,289.13
  4. Step 4: Simplify right side
    36,478.52x = 782,221,270.11
  5. Step 5: Solve for x
    x = 782,221,270.11/36,478.52
  6. Step 6: Final answer
    x = 21,443.34

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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.