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Finding the Fourth Proportional to 27,539.42, 37,971.11 and 23,282.98

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Solution

The fourth proportional to 27,539.42, 37,971.11 and 23,282.98 is: 32,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539.42 : 37,971.11 = 23,282.98 : x
  2. Step 2: Convert to fraction form
    27,539.42/37,971.11 = 23,282.98/x
  3. Step 3: Cross multiply
    27,539.42x = 37,971.11 × 23,282.98
  4. Step 4: Simplify right side
    27,539.42x = 884,080,557.99
  5. Step 5: Solve for x
    x = 884,080,557.99/27,539.42
  6. Step 6: Final answer
    x = 32,102.37

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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.