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Finding the Fourth Proportional to 61,423.92, 92,186.04 and 31,850.64

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Solution

The fourth proportional to 61,423.92, 92,186.04 and 31,850.64 is: 47,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,423.92 : 92,186.04 = 31,850.64 : x
  2. Step 2: Convert to fraction form
    61,423.92/92,186.04 = 31,850.64/x
  3. Step 3: Cross multiply
    61,423.92x = 92,186.04 × 31,850.64
  4. Step 4: Simplify right side
    61,423.92x = 2,936,184,373.07
  5. Step 5: Solve for x
    x = 2,936,184,373.07/61,423.92
  6. Step 6: Final answer
    x = 47,801.97

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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.