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Finding the Fourth Proportional to 35,825.72, 53,725.82 and 13,633.20

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Solution

The fourth proportional to 35,825.72, 53,725.82 and 13,633.20 is: 20,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,825.72 : 53,725.82 = 13,633.20 : x
  2. Step 2: Convert to fraction form
    35,825.72/53,725.82 = 13,633.20/x
  3. Step 3: Cross multiply
    35,825.72x = 53,725.82 × 13,633.20
  4. Step 4: Simplify right side
    35,825.72x = 732,454,781.06
  5. Step 5: Solve for x
    x = 732,454,781.06/35,825.72
  6. Step 6: Final answer
    x = 20,444.95

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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.