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Finding the Fourth Proportional to 27,156.42, 40,729.92 and 7,430.29

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Solution

The fourth proportional to 27,156.42, 40,729.92 and 7,430.29 is: 11,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,156.42 : 40,729.92 = 7,430.29 : x
  2. Step 2: Convert to fraction form
    27,156.42/40,729.92 = 7,430.29/x
  3. Step 3: Cross multiply
    27,156.42x = 40,729.92 × 7,430.29
  4. Step 4: Simplify right side
    27,156.42x = 302,635,029.38
  5. Step 5: Solve for x
    x = 302,635,029.38/27,156.42
  6. Step 6: Final answer
    x = 11,144.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.