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Finding the Fourth Proportional to 52,301.14, 78,736.28 and 47,651.02

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Solution

The fourth proportional to 52,301.14, 78,736.28 and 47,651.02 is: 71,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,301.14 : 78,736.28 = 47,651.02 : x
  2. Step 2: Convert to fraction form
    52,301.14/78,736.28 = 47,651.02/x
  3. Step 3: Cross multiply
    52,301.14x = 78,736.28 × 47,651.02
  4. Step 4: Simplify right side
    52,301.14x = 3,751,864,053.01
  5. Step 5: Solve for x
    x = 3,751,864,053.01/52,301.14
  6. Step 6: Final answer
    x = 71,735.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.