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Finding the Fourth Proportional to 70,434.65, 105,553.26 and 32,905.73

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Solution

The fourth proportional to 70,434.65, 105,553.26 and 32,905.73 is: 49,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.65 : 105,553.26 = 32,905.73 : x
  2. Step 2: Convert to fraction form
    70,434.65/105,553.26 = 32,905.73/x
  3. Step 3: Cross multiply
    70,434.65x = 105,553.26 × 32,905.73
  4. Step 4: Simplify right side
    70,434.65x = 3,473,307,074.18
  5. Step 5: Solve for x
    x = 3,473,307,074.18/70,434.65
  6. Step 6: Final answer
    x = 49,312.48

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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.