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Finding the Fourth Proportional to 38,401.28, 53,000.64 and 22,484.80

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Solution

The fourth proportional to 38,401.28, 53,000.64 and 22,484.80 is: 31,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401.28 : 53,000.64 = 22,484.80 : x
  2. Step 2: Convert to fraction form
    38,401.28/53,000.64 = 22,484.80/x
  3. Step 3: Cross multiply
    38,401.28x = 53,000.64 × 22,484.80
  4. Step 4: Simplify right side
    38,401.28x = 1,191,708,790.27
  5. Step 5: Solve for x
    x = 1,191,708,790.27/38,401.28
  6. Step 6: Final answer
    x = 31,033.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.