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Finding the Fourth Proportional to 47,105.12, 64,980 and 38,162.72

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Solution

The fourth proportional to 47,105.12, 64,980 and 38,162.72 is: 52,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105.12 : 64,980 = 38,162.72 : x
  2. Step 2: Convert to fraction form
    47,105.12/64,980 = 38,162.72/x
  3. Step 3: Cross multiply
    47,105.12x = 64,980 × 38,162.72
  4. Step 4: Simplify right side
    47,105.12x = 2,479,813,545.60
  5. Step 5: Solve for x
    x = 2,479,813,545.60/47,105.12
  6. Step 6: Final answer
    x = 52,644.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.