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Finding the Fourth Proportional to 38,102.64, 57,208.50 and 23,340.84

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Solution

The fourth proportional to 38,102.64, 57,208.50 and 23,340.84 is: 35,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.64 : 57,208.50 = 23,340.84 : x
  2. Step 2: Convert to fraction form
    38,102.64/57,208.50 = 23,340.84/x
  3. Step 3: Cross multiply
    38,102.64x = 57,208.50 × 23,340.84
  4. Step 4: Simplify right side
    38,102.64x = 1,335,294,445.14
  5. Step 5: Solve for x
    x = 1,335,294,445.14/38,102.64
  6. Step 6: Final answer
    x = 35,044.67

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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.