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Finding the Fourth Proportional to 64,754.56, 97,049.76 and 29,177.92

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Solution

The fourth proportional to 64,754.56, 97,049.76 and 29,177.92 is: 43,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,754.56 : 97,049.76 = 29,177.92 : x
  2. Step 2: Convert to fraction form
    64,754.56/97,049.76 = 29,177.92/x
  3. Step 3: Cross multiply
    64,754.56x = 97,049.76 × 29,177.92
  4. Step 4: Simplify right side
    64,754.56x = 2,831,710,133.30
  5. Step 5: Solve for x
    x = 2,831,710,133.30/64,754.56
  6. Step 6: Final answer
    x = 43,729.90

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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.