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Finding the Fourth Proportional to 36,238.57, 54,360.08 and 9,585.11

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Solution

The fourth proportional to 36,238.57, 54,360.08 and 9,585.11 is: 14,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,238.57 : 54,360.08 = 9,585.11 : x
  2. Step 2: Convert to fraction form
    36,238.57/54,360.08 = 9,585.11/x
  3. Step 3: Cross multiply
    36,238.57x = 54,360.08 × 9,585.11
  4. Step 4: Simplify right side
    36,238.57x = 521,047,346.41
  5. Step 5: Solve for x
    x = 521,047,346.41/36,238.57
  6. Step 6: Final answer
    x = 14,378.25

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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.