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Finding the Fourth Proportional to 27,459, 37,865.12 and 23,493.24

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Solution

The fourth proportional to 27,459, 37,865.12 and 23,493.24 is: 32,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459 : 37,865.12 = 23,493.24 : x
  2. Step 2: Convert to fraction form
    27,459/37,865.12 = 23,493.24/x
  3. Step 3: Cross multiply
    27,459x = 37,865.12 × 23,493.24
  4. Step 4: Simplify right side
    27,459x = 889,574,234.32
  5. Step 5: Solve for x
    x = 889,574,234.32/27,459
  6. Step 6: Final answer
    x = 32,396.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.