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Finding the Fourth Proportional to 36,293.16, 54,443.12 and 12,597

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Solution

The fourth proportional to 36,293.16, 54,443.12 and 12,597 is: 18,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,293.16 : 54,443.12 = 12,597 : x
  2. Step 2: Convert to fraction form
    36,293.16/54,443.12 = 12,597/x
  3. Step 3: Cross multiply
    36,293.16x = 54,443.12 × 12,597
  4. Step 4: Simplify right side
    36,293.16x = 685,819,982.64
  5. Step 5: Solve for x
    x = 685,819,982.64/36,293.16
  6. Step 6: Final answer
    x = 18,896.67

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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.