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Finding the Fourth Proportional to 61,234.64, 91,633.08 and 47,996

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Solution

The fourth proportional to 61,234.64, 91,633.08 and 47,996 is: 71,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,234.64 : 91,633.08 = 47,996 : x
  2. Step 2: Convert to fraction form
    61,234.64/91,633.08 = 47,996/x
  3. Step 3: Cross multiply
    61,234.64x = 91,633.08 × 47,996
  4. Step 4: Simplify right side
    61,234.64x = 4,398,021,307.68
  5. Step 5: Solve for x
    x = 4,398,021,307.68/61,234.64
  6. Step 6: Final answer
    x = 71,822.44

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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.