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Finding the Fourth Proportional to 70,291.35, 105,426.20 and 22,906.32

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Solution

The fourth proportional to 70,291.35, 105,426.20 and 22,906.32 is: 34,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,291.35 : 105,426.20 = 22,906.32 : x
  2. Step 2: Convert to fraction form
    70,291.35/105,426.20 = 22,906.32/x
  3. Step 3: Cross multiply
    70,291.35x = 105,426.20 × 22,906.32
  4. Step 4: Simplify right side
    70,291.35x = 2,414,926,554.40
  5. Step 5: Solve for x
    x = 2,414,926,554.40/70,291.35
  6. Step 6: Final answer
    x = 34,355.96

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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.