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Finding the Fourth Proportional to 70,703.28, 106,053.30 and 20,782.08

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Solution

The fourth proportional to 70,703.28, 106,053.30 and 20,782.08 is: 31,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,703.28 : 106,053.30 = 20,782.08 : x
  2. Step 2: Convert to fraction form
    70,703.28/106,053.30 = 20,782.08/x
  3. Step 3: Cross multiply
    70,703.28x = 106,053.30 × 20,782.08
  4. Step 4: Simplify right side
    70,703.28x = 2,204,008,164.86
  5. Step 5: Solve for x
    x = 2,204,008,164.86/70,703.28
  6. Step 6: Final answer
    x = 31,172.64

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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.