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Finding the Fourth Proportional to 36,062, 54,101.64 and 11,438

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Solution

The fourth proportional to 36,062, 54,101.64 and 11,438 is: 17,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,062 : 54,101.64 = 11,438 : x
  2. Step 2: Convert to fraction form
    36,062/54,101.64 = 11,438/x
  3. Step 3: Cross multiply
    36,062x = 54,101.64 × 11,438
  4. Step 4: Simplify right side
    36,062x = 618,814,558.32
  5. Step 5: Solve for x
    x = 618,814,558.32/36,062
  6. Step 6: Final answer
    x = 17,159.74

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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.