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Finding the Fourth Proportional to 36,073, 54,131.64 and 15,296.50

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Solution

The fourth proportional to 36,073, 54,131.64 and 15,296.50 is: 22,954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,073 : 54,131.64 = 15,296.50 : x
  2. Step 2: Convert to fraction form
    36,073/54,131.64 = 15,296.50/x
  3. Step 3: Cross multiply
    36,073x = 54,131.64 × 15,296.50
  4. Step 4: Simplify right side
    36,073x = 828,024,631.26
  5. Step 5: Solve for x
    x = 828,024,631.26/36,073
  6. Step 6: Final answer
    x = 22,954.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.