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Finding the Fourth Proportional to 35,202.28, 52,802.93 and 8,548.48

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Solution

The fourth proportional to 35,202.28, 52,802.93 and 8,548.48 is: 12,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,202.28 : 52,802.93 = 8,548.48 : x
  2. Step 2: Convert to fraction form
    35,202.28/52,802.93 = 8,548.48/x
  3. Step 3: Cross multiply
    35,202.28x = 52,802.93 × 8,548.48
  4. Step 4: Simplify right side
    35,202.28x = 451,384,484.29
  5. Step 5: Solve for x
    x = 451,384,484.29/35,202.28
  6. Step 6: Final answer
    x = 12,822.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.