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Finding the Fourth Proportional to 27,062, 40,557.36 and 11,460.32

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Solution

The fourth proportional to 27,062, 40,557.36 and 11,460.32 is: 17,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,062 : 40,557.36 = 11,460.32 : x
  2. Step 2: Convert to fraction form
    27,062/40,557.36 = 11,460.32/x
  3. Step 3: Cross multiply
    27,062x = 40,557.36 × 11,460.32
  4. Step 4: Simplify right side
    27,062x = 464,800,323.96
  5. Step 5: Solve for x
    x = 464,800,323.96/27,062
  6. Step 6: Final answer
    x = 17,175.39

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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.