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Finding the Fourth Proportional to 115,398.09, 173,122.25 and 36,513

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Solution

The fourth proportional to 115,398.09, 173,122.25 and 36,513 is: 54,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,398.09 : 173,122.25 = 36,513 : x
  2. Step 2: Convert to fraction form
    115,398.09/173,122.25 = 36,513/x
  3. Step 3: Cross multiply
    115,398.09x = 173,122.25 × 36,513
  4. Step 4: Simplify right side
    115,398.09x = 6,321,212,531.69
  5. Step 5: Solve for x
    x = 6,321,212,531.69/115,398.09
  6. Step 6: Final answer
    x = 54,777.45

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