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Finding the Fourth Proportional to 70,210, 105,333.24 and 20,962

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Solution

The fourth proportional to 70,210, 105,333.24 and 20,962 is: 31,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,210 : 105,333.24 = 20,962 : x
  2. Step 2: Convert to fraction form
    70,210/105,333.24 = 20,962/x
  3. Step 3: Cross multiply
    70,210x = 105,333.24 × 20,962
  4. Step 4: Simplify right side
    70,210x = 2,207,995,376.88
  5. Step 5: Solve for x
    x = 2,207,995,376.88/70,210
  6. Step 6: Final answer
    x = 31,448.45

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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.