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Finding the Fourth Proportional to 36,522.01, 54,750.12 and 13,132

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Solution

The fourth proportional to 36,522.01, 54,750.12 and 13,132 is: 19,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,522.01 : 54,750.12 = 13,132 : x
  2. Step 2: Convert to fraction form
    36,522.01/54,750.12 = 13,132/x
  3. Step 3: Cross multiply
    36,522.01x = 54,750.12 × 13,132
  4. Step 4: Simplify right side
    36,522.01x = 718,978,575.84
  5. Step 5: Solve for x
    x = 718,978,575.84/36,522.01
  6. Step 6: Final answer
    x = 19,686.17

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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.