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Finding the Fourth Proportional to 52,071.57, 71,858.81 and 28,198.27

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Solution

The fourth proportional to 52,071.57, 71,858.81 and 28,198.27 is: 38,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.57 : 71,858.81 = 28,198.27 : x
  2. Step 2: Convert to fraction form
    52,071.57/71,858.81 = 28,198.27/x
  3. Step 3: Cross multiply
    52,071.57x = 71,858.81 × 28,198.27
  4. Step 4: Simplify right side
    52,071.57x = 2,026,294,126.26
  5. Step 5: Solve for x
    x = 2,026,294,126.26/52,071.57
  6. Step 6: Final answer
    x = 38,913.64

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1.5x scale

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.