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Finding the Fourth Proportional to 36,020.96, 54,031.28 and 9,728.40

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Solution

The fourth proportional to 36,020.96, 54,031.28 and 9,728.40 is: 14,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,020.96 : 54,031.28 = 9,728.40 : x
  2. Step 2: Convert to fraction form
    36,020.96/54,031.28 = 9,728.40/x
  3. Step 3: Cross multiply
    36,020.96x = 54,031.28 × 9,728.40
  4. Step 4: Simplify right side
    36,020.96x = 525,637,904.35
  5. Step 5: Solve for x
    x = 525,637,904.35/36,020.96
  6. Step 6: Final answer
    x = 14,592.56

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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.