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Finding the Fourth Proportional to 27,954.30, 41,931.45 and 9,234.30

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Solution

The fourth proportional to 27,954.30, 41,931.45 and 9,234.30 is: 13,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.30 : 41,931.45 = 9,234.30 : x
  2. Step 2: Convert to fraction form
    27,954.30/41,931.45 = 9,234.30/x
  3. Step 3: Cross multiply
    27,954.30x = 41,931.45 × 9,234.30
  4. Step 4: Simplify right side
    27,954.30x = 387,207,588.74
  5. Step 5: Solve for x
    x = 387,207,588.74/27,954.30
  6. Step 6: Final answer
    x = 13,851.45

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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.