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Finding the Fourth Proportional to 52,053.76, 71,785.02 and 34,164.28

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Solution

The fourth proportional to 52,053.76, 71,785.02 and 34,164.28 is: 47,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,053.76 : 71,785.02 = 34,164.28 : x
  2. Step 2: Convert to fraction form
    52,053.76/71,785.02 = 34,164.28/x
  3. Step 3: Cross multiply
    52,053.76x = 71,785.02 × 34,164.28
  4. Step 4: Simplify right side
    52,053.76x = 2,452,483,523.09
  5. Step 5: Solve for x
    x = 2,452,483,523.09/52,053.76
  6. Step 6: Final answer
    x = 47,114.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.