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Finding the Fourth Proportional to 121,507.48, 182,261.22 and 38,395

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Solution

The fourth proportional to 121,507.48, 182,261.22 and 38,395 is: 57,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,507.48 : 182,261.22 = 38,395 : x
  2. Step 2: Convert to fraction form
    121,507.48/182,261.22 = 38,395/x
  3. Step 3: Cross multiply
    121,507.48x = 182,261.22 × 38,395
  4. Step 4: Simplify right side
    121,507.48x = 6,997,919,541.90
  5. Step 5: Solve for x
    x = 6,997,919,541.90/121,507.48
  6. Step 6: Final answer
    x = 57,592.50

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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.