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Finding the Fourth Proportional to 64,132.82, 96,211.83 and 19,752.02

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Solution

The fourth proportional to 64,132.82, 96,211.83 and 19,752.02 is: 29,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,132.82 : 96,211.83 = 19,752.02 : x
  2. Step 2: Convert to fraction form
    64,132.82/96,211.83 = 19,752.02/x
  3. Step 3: Cross multiply
    64,132.82x = 96,211.83 × 19,752.02
  4. Step 4: Simplify right side
    64,132.82x = 1,900,377,990.40
  5. Step 5: Solve for x
    x = 1,900,377,990.40/64,132.82
  6. Step 6: Final answer
    x = 29,631.91

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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.