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Finding the Fourth Proportional to 27,032.24, 40,549.92 and 9,503.28

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Solution

The fourth proportional to 27,032.24, 40,549.92 and 9,503.28 is: 14,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,032.24 : 40,549.92 = 9,503.28 : x
  2. Step 2: Convert to fraction form
    27,032.24/40,549.92 = 9,503.28/x
  3. Step 3: Cross multiply
    27,032.24x = 40,549.92 × 9,503.28
  4. Step 4: Simplify right side
    27,032.24x = 385,357,243.74
  5. Step 5: Solve for x
    x = 385,357,243.74/27,032.24
  6. Step 6: Final answer
    x = 14,255.47

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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.