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Finding the Fourth Proportional to 35,680.96, 53,521.44 and 17,200

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Solution

The fourth proportional to 35,680.96, 53,521.44 and 17,200 is: 25,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,680.96 : 53,521.44 = 17,200 : x
  2. Step 2: Convert to fraction form
    35,680.96/53,521.44 = 17,200/x
  3. Step 3: Cross multiply
    35,680.96x = 53,521.44 × 17,200
  4. Step 4: Simplify right side
    35,680.96x = 920,568,768
  5. Step 5: Solve for x
    x = 920,568,768/35,680.96
  6. Step 6: Final answer
    x = 25,800

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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.