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Finding the Fourth Proportional to 38,277.76, 57,427.80 and 23,496.16

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Solution

The fourth proportional to 38,277.76, 57,427.80 and 23,496.16 is: 35,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277.76 : 57,427.80 = 23,496.16 : x
  2. Step 2: Convert to fraction form
    38,277.76/57,427.80 = 23,496.16/x
  3. Step 3: Cross multiply
    38,277.76x = 57,427.80 × 23,496.16
  4. Step 4: Simplify right side
    38,277.76x = 1,349,332,777.25
  5. Step 5: Solve for x
    x = 1,349,332,777.25/38,277.76
  6. Step 6: Final answer
    x = 35,251.09

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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.