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Finding the Fourth Proportional to 97,832.64, 146,661.48 and 47,881.56

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Solution

The fourth proportional to 97,832.64, 146,661.48 and 47,881.56 is: 71,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,832.64 : 146,661.48 = 47,881.56 : x
  2. Step 2: Convert to fraction form
    97,832.64/146,661.48 = 47,881.56/x
  3. Step 3: Cross multiply
    97,832.64x = 146,661.48 × 47,881.56
  4. Step 4: Simplify right side
    97,832.64x = 7,022,380,454.31
  5. Step 5: Solve for x
    x = 7,022,380,454.31/97,832.64
  6. Step 6: Final answer
    x = 71,779.53

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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.