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Finding the Fourth Proportional to 70,329.69, 105,353.19 and 32,838.03

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Solution

The fourth proportional to 70,329.69, 105,353.19 and 32,838.03 is: 49,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,329.69 : 105,353.19 = 32,838.03 : x
  2. Step 2: Convert to fraction form
    70,329.69/105,353.19 = 32,838.03/x
  3. Step 3: Cross multiply
    70,329.69x = 105,353.19 × 32,838.03
  4. Step 4: Simplify right side
    70,329.69x = 3,459,591,213.82
  5. Step 5: Solve for x
    x = 3,459,591,213.82/70,329.69
  6. Step 6: Final answer
    x = 49,191.05

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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.