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Finding the Fourth Proportional to 70,494.67, 105,667.75 and 28,404.64

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Solution

The fourth proportional to 70,494.67, 105,667.75 and 28,404.64 is: 42,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494.67 : 105,667.75 = 28,404.64 : x
  2. Step 2: Convert to fraction form
    70,494.67/105,667.75 = 28,404.64/x
  3. Step 3: Cross multiply
    70,494.67x = 105,667.75 × 28,404.64
  4. Step 4: Simplify right side
    70,494.67x = 3,001,454,398.36
  5. Step 5: Solve for x
    x = 3,001,454,398.36/70,494.67
  6. Step 6: Final answer
    x = 42,577.04

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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.