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Finding the Fourth Proportional to 36,088, 54,140.64 and 11,464

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Solution

The fourth proportional to 36,088, 54,140.64 and 11,464 is: 17,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,088 : 54,140.64 = 11,464 : x
  2. Step 2: Convert to fraction form
    36,088/54,140.64 = 11,464/x
  3. Step 3: Cross multiply
    36,088x = 54,140.64 × 11,464
  4. Step 4: Simplify right side
    36,088x = 620,668,296.96
  5. Step 5: Solve for x
    x = 620,668,296.96/36,088
  6. Step 6: Final answer
    x = 17,198.74

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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.