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Finding the Fourth Proportional to 35,293.92, 52,924.11 and 20,507.10

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Solution

The fourth proportional to 35,293.92, 52,924.11 and 20,507.10 is: 30,750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,293.92 : 52,924.11 = 20,507.10 : x
  2. Step 2: Convert to fraction form
    35,293.92/52,924.11 = 20,507.10/x
  3. Step 3: Cross multiply
    35,293.92x = 52,924.11 × 20,507.10
  4. Step 4: Simplify right side
    35,293.92x = 1,085,320,016.18
  5. Step 5: Solve for x
    x = 1,085,320,016.18/35,293.92
  6. Step 6: Final answer
    x = 30,750.91

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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.