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Finding the Fourth Proportional to 31,601, 47,410.28 and 13,828.48

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Solution

The fourth proportional to 31,601, 47,410.28 and 13,828.48 is: 20,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601 : 47,410.28 = 13,828.48 : x
  2. Step 2: Convert to fraction form
    31,601/47,410.28 = 13,828.48/x
  3. Step 3: Cross multiply
    31,601x = 47,410.28 × 13,828.48
  4. Step 4: Simplify right side
    31,601x = 655,612,108.77
  5. Step 5: Solve for x
    x = 655,612,108.77/31,601
  6. Step 6: Final answer
    x = 20,746.56

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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.