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Finding the Fourth Proportional to 38,023.76, 52,472.94 and 21,256.76

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Solution

The fourth proportional to 38,023.76, 52,472.94 and 21,256.76 is: 29,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,023.76 : 52,472.94 = 21,256.76 : x
  2. Step 2: Convert to fraction form
    38,023.76/52,472.94 = 21,256.76/x
  3. Step 3: Cross multiply
    38,023.76x = 52,472.94 × 21,256.76
  4. Step 4: Simplify right side
    38,023.76x = 1,115,404,692.07
  5. Step 5: Solve for x
    x = 1,115,404,692.07/38,023.76
  6. Step 6: Final answer
    x = 29,334.41

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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.