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Finding the Fourth Proportional to 35,311.20, 48,733.76 and 20,407.20

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Solution

The fourth proportional to 35,311.20, 48,733.76 and 20,407.20 is: 28,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,311.20 : 48,733.76 = 20,407.20 : x
  2. Step 2: Convert to fraction form
    35,311.20/48,733.76 = 20,407.20/x
  3. Step 3: Cross multiply
    35,311.20x = 48,733.76 × 20,407.20
  4. Step 4: Simplify right side
    35,311.20x = 994,519,587.07
  5. Step 5: Solve for x
    x = 994,519,587.07/35,311.20
  6. Step 6: Final answer
    x = 28,164.42

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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.