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Finding the Fourth Proportional to 92,146.91, 138,226.65 and 31,332.41

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Solution

The fourth proportional to 92,146.91, 138,226.65 and 31,332.41 is: 47,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,146.91 : 138,226.65 = 31,332.41 : x
  2. Step 2: Convert to fraction form
    92,146.91/138,226.65 = 31,332.41/x
  3. Step 3: Cross multiply
    92,146.91x = 138,226.65 × 31,332.41
  4. Step 4: Simplify right side
    92,146.91x = 4,330,973,379.59
  5. Step 5: Solve for x
    x = 4,330,973,379.59/92,146.91
  6. Step 6: Final answer
    x = 47,000.75

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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.