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Finding the Fourth Proportional to 42,911.68, 59,207 and 25,902.48

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Solution

The fourth proportional to 42,911.68, 59,207 and 25,902.48 is: 35,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,911.68 : 59,207 = 25,902.48 : x
  2. Step 2: Convert to fraction form
    42,911.68/59,207 = 25,902.48/x
  3. Step 3: Cross multiply
    42,911.68x = 59,207 × 25,902.48
  4. Step 4: Simplify right side
    42,911.68x = 1,533,608,133.36
  5. Step 5: Solve for x
    x = 1,533,608,133.36/42,911.68
  6. Step 6: Final answer
    x = 35,738.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.