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Finding the Fourth Proportional to 36,130.42, 54,191.31 and 9,837.22

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Solution

The fourth proportional to 36,130.42, 54,191.31 and 9,837.22 is: 14,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,130.42 : 54,191.31 = 9,837.22 : x
  2. Step 2: Convert to fraction form
    36,130.42/54,191.31 = 9,837.22/x
  3. Step 3: Cross multiply
    36,130.42x = 54,191.31 × 9,837.22
  4. Step 4: Simplify right side
    36,130.42x = 533,091,838.56
  5. Step 5: Solve for x
    x = 533,091,838.56/36,130.42
  6. Step 6: Final answer
    x = 14,754.65

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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.