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Finding the Fourth Proportional to 121,857, 182,773.92 and 37,594.53

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Solution

The fourth proportional to 121,857, 182,773.92 and 37,594.53 is: 56,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,857 : 182,773.92 = 37,594.53 : x
  2. Step 2: Convert to fraction form
    121,857/182,773.92 = 37,594.53/x
  3. Step 3: Cross multiply
    121,857x = 182,773.92 × 37,594.53
  4. Step 4: Simplify right side
    121,857x = 6,871,299,618.66
  5. Step 5: Solve for x
    x = 6,871,299,618.66/121,857
  6. Step 6: Final answer
    x = 56,388.22

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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.