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Finding the Fourth Proportional to 35,099.20, 52,648.80 and 34,523.20

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Solution

The fourth proportional to 35,099.20, 52,648.80 and 34,523.20 is: 51,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,099.20 : 52,648.80 = 34,523.20 : x
  2. Step 2: Convert to fraction form
    35,099.20/52,648.80 = 34,523.20/x
  3. Step 3: Cross multiply
    35,099.20x = 52,648.80 × 34,523.20
  4. Step 4: Simplify right side
    35,099.20x = 1,817,605,052.16
  5. Step 5: Solve for x
    x = 1,817,605,052.16/35,099.20
  6. Step 6: Final answer
    x = 51,784.80

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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.