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Finding the Fourth Proportional to 195,071, 292,606.62 and 47,327

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Solution

The fourth proportional to 195,071, 292,606.62 and 47,327 is: 70,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,071 : 292,606.62 = 47,327 : x
  2. Step 2: Convert to fraction form
    195,071/292,606.62 = 47,327/x
  3. Step 3: Cross multiply
    195,071x = 292,606.62 × 47,327
  4. Step 4: Simplify right side
    195,071x = 13,848,193,504.74
  5. Step 5: Solve for x
    x = 13,848,193,504.74/195,071
  6. Step 6: Final answer
    x = 70,990.53

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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.