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Finding the Fourth Proportional to 61,235.64, 91,634.58 and 47,997

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Solution

The fourth proportional to 61,235.64, 91,634.58 and 47,997 is: 71,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,235.64 : 91,634.58 = 47,997 : x
  2. Step 2: Convert to fraction form
    61,235.64/91,634.58 = 47,997/x
  3. Step 3: Cross multiply
    61,235.64x = 91,634.58 × 47,997
  4. Step 4: Simplify right side
    61,235.64x = 4,398,184,936.26
  5. Step 5: Solve for x
    x = 4,398,184,936.26/61,235.64
  6. Step 6: Final answer
    x = 71,823.94

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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.