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Finding the Fourth Proportional to 70,217.32, 105,452.82 and 64,584.84

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Solution

The fourth proportional to 70,217.32, 105,452.82 and 64,584.84 is: 96,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,217.32 : 105,452.82 = 64,584.84 : x
  2. Step 2: Convert to fraction form
    70,217.32/105,452.82 = 64,584.84/x
  3. Step 3: Cross multiply
    70,217.32x = 105,452.82 × 64,584.84
  4. Step 4: Simplify right side
    70,217.32x = 6,810,653,507.25
  5. Step 5: Solve for x
    x = 6,810,653,507.25/70,217.32
  6. Step 6: Final answer
    x = 96,993.93

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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.