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Finding the Fourth Proportional to 38,024.40, 57,046.32 and 14,644.56

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Solution

The fourth proportional to 38,024.40, 57,046.32 and 14,644.56 is: 21,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024.40 : 57,046.32 = 14,644.56 : x
  2. Step 2: Convert to fraction form
    38,024.40/57,046.32 = 14,644.56/x
  3. Step 3: Cross multiply
    38,024.40x = 57,046.32 × 14,644.56
  4. Step 4: Simplify right side
    38,024.40x = 835,418,256.02
  5. Step 5: Solve for x
    x = 835,418,256.02/38,024.40
  6. Step 6: Final answer
    x = 21,970.58

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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.