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Finding the Fourth Proportional to 38,431.76, 53,035.80 and 20,767.76

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Solution

The fourth proportional to 38,431.76, 53,035.80 and 20,767.76 is: 28,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431.76 : 53,035.80 = 20,767.76 : x
  2. Step 2: Convert to fraction form
    38,431.76/53,035.80 = 20,767.76/x
  3. Step 3: Cross multiply
    38,431.76x = 53,035.80 × 20,767.76
  4. Step 4: Simplify right side
    38,431.76x = 1,101,434,765.81
  5. Step 5: Solve for x
    x = 1,101,434,765.81/38,431.76
  6. Step 6: Final answer
    x = 28,659.49

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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.