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Finding the Fourth Proportional to 70,565.49, 105,805.17 and 29,991.21

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Solution

The fourth proportional to 70,565.49, 105,805.17 and 29,991.21 is: 44,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,565.49 : 105,805.17 = 29,991.21 : x
  2. Step 2: Convert to fraction form
    70,565.49/105,805.17 = 29,991.21/x
  3. Step 3: Cross multiply
    70,565.49x = 105,805.17 × 29,991.21
  4. Step 4: Simplify right side
    70,565.49x = 3,173,225,072.56
  5. Step 5: Solve for x
    x = 3,173,225,072.56/70,565.49
  6. Step 6: Final answer
    x = 44,968.51

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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.