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Finding the Fourth Proportional to 35,220.32, 52,822 and 10,253.60

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Solution

The fourth proportional to 35,220.32, 52,822 and 10,253.60 is: 15,377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,220.32 : 52,822 = 10,253.60 : x
  2. Step 2: Convert to fraction form
    35,220.32/52,822 = 10,253.60/x
  3. Step 3: Cross multiply
    35,220.32x = 52,822 × 10,253.60
  4. Step 4: Simplify right side
    35,220.32x = 541,615,659.20
  5. Step 5: Solve for x
    x = 541,615,659.20/35,220.32
  6. Step 6: Final answer
    x = 15,377.93

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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.