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Finding the Fourth Proportional to 64,206.80, 96,320.46 and 19,823.12

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Solution

The fourth proportional to 64,206.80, 96,320.46 and 19,823.12 is: 29,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.80 : 96,320.46 = 19,823.12 : x
  2. Step 2: Convert to fraction form
    64,206.80/96,320.46 = 19,823.12/x
  3. Step 3: Cross multiply
    64,206.80x = 96,320.46 × 19,823.12
  4. Step 4: Simplify right side
    64,206.80x = 1,909,372,037.04
  5. Step 5: Solve for x
    x = 1,909,372,037.04/64,206.80
  6. Step 6: Final answer
    x = 29,737.85

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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.