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Finding the Fourth Proportional to 36,002.84, 54,003.62 and 9,710.36

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Solution

The fourth proportional to 36,002.84, 54,003.62 and 9,710.36 is: 14,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,002.84 : 54,003.62 = 9,710.36 : x
  2. Step 2: Convert to fraction form
    36,002.84/54,003.62 = 9,710.36/x
  3. Step 3: Cross multiply
    36,002.84x = 54,003.62 × 9,710.36
  4. Step 4: Simplify right side
    36,002.84x = 524,394,591.50
  5. Step 5: Solve for x
    x = 524,394,591.50/36,002.84
  6. Step 6: Final answer
    x = 14,565.37

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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.