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Finding the Fourth Proportional to 36,294.61, 54,441.80 and 9,643.26

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Solution

The fourth proportional to 36,294.61, 54,441.80 and 9,643.26 is: 14,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,294.61 : 54,441.80 = 9,643.26 : x
  2. Step 2: Convert to fraction form
    36,294.61/54,441.80 = 9,643.26/x
  3. Step 3: Cross multiply
    36,294.61x = 54,441.80 × 9,643.26
  4. Step 4: Simplify right side
    36,294.61x = 524,996,520.16
  5. Step 5: Solve for x
    x = 524,996,520.16/36,294.61
  6. Step 6: Final answer
    x = 14,464.86

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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.