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Finding the Fourth Proportional to 61,327, 92,012.70 and 30,184.12

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Solution

The fourth proportional to 61,327, 92,012.70 and 30,184.12 is: 45,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,327 : 92,012.70 = 30,184.12 : x
  2. Step 2: Convert to fraction form
    61,327/92,012.70 = 30,184.12/x
  3. Step 3: Cross multiply
    61,327x = 92,012.70 × 30,184.12
  4. Step 4: Simplify right side
    61,327x = 2,777,322,378.32
  5. Step 5: Solve for x
    x = 2,777,322,378.32/61,327
  6. Step 6: Final answer
    x = 45,287.11

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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.