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Finding the Fourth Proportional to 36,316.98, 54,475.74 and 10,021.14

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Solution

The fourth proportional to 36,316.98, 54,475.74 and 10,021.14 is: 15,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,316.98 : 54,475.74 = 10,021.14 : x
  2. Step 2: Convert to fraction form
    36,316.98/54,475.74 = 10,021.14/x
  3. Step 3: Cross multiply
    36,316.98x = 54,475.74 × 10,021.14
  4. Step 4: Simplify right side
    36,316.98x = 545,909,017.14
  5. Step 5: Solve for x
    x = 545,909,017.14/36,316.98
  6. Step 6: Final answer
    x = 15,031.78

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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.