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Finding the Fourth Proportional to 57,633.54, 86,377.59 and 30,913.26

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Solution

The fourth proportional to 57,633.54, 86,377.59 and 30,913.26 is: 46,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,633.54 : 86,377.59 = 30,913.26 : x
  2. Step 2: Convert to fraction form
    57,633.54/86,377.59 = 30,913.26/x
  3. Step 3: Cross multiply
    57,633.54x = 86,377.59 × 30,913.26
  4. Step 4: Simplify right side
    57,633.54x = 2,670,212,897.84
  5. Step 5: Solve for x
    x = 2,670,212,897.84/57,633.54
  6. Step 6: Final answer
    x = 46,330.88

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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.