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Finding the Fourth Proportional to 92,498.23, 138,691.16 and 36,270.98

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Solution

The fourth proportional to 92,498.23, 138,691.16 and 36,270.98 is: 54,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,498.23 : 138,691.16 = 36,270.98 : x
  2. Step 2: Convert to fraction form
    92,498.23/138,691.16 = 36,270.98/x
  3. Step 3: Cross multiply
    92,498.23x = 138,691.16 × 36,270.98
  4. Step 4: Simplify right side
    92,498.23x = 5,030,463,415.73
  5. Step 5: Solve for x
    x = 5,030,463,415.73/92,498.23
  6. Step 6: Final answer
    x = 54,384.43

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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.