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Finding the Fourth Proportional to 61,442.82, 92,222.01 and 31,881.60

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Solution

The fourth proportional to 61,442.82, 92,222.01 and 31,881.60 is: 47,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442.82 : 92,222.01 = 31,881.60 : x
  2. Step 2: Convert to fraction form
    61,442.82/92,222.01 = 31,881.60/x
  3. Step 3: Cross multiply
    61,442.82x = 92,222.01 × 31,881.60
  4. Step 4: Simplify right side
    61,442.82x = 2,940,185,234.02
  5. Step 5: Solve for x
    x = 2,940,185,234.02/61,442.82
  6. Step 6: Final answer
    x = 47,852.38

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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.