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Finding the Fourth Proportional to 92,270.24, 138,356.15 and 47,786.66

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Solution

The fourth proportional to 92,270.24, 138,356.15 and 47,786.66 is: 71,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,270.24 : 138,356.15 = 47,786.66 : x
  2. Step 2: Convert to fraction form
    92,270.24/138,356.15 = 47,786.66/x
  3. Step 3: Cross multiply
    92,270.24x = 138,356.15 × 47,786.66
  4. Step 4: Simplify right side
    92,270.24x = 6,611,578,155.88
  5. Step 5: Solve for x
    x = 6,611,578,155.88/92,270.24
  6. Step 6: Final answer
    x = 71,654.50

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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.