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Finding the Fourth Proportional to 52,071.77, 71,859.11 and 28,198.48

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Solution

The fourth proportional to 52,071.77, 71,859.11 and 28,198.48 is: 38,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.77 : 71,859.11 = 28,198.48 : x
  2. Step 2: Convert to fraction form
    52,071.77/71,859.11 = 28,198.48/x
  3. Step 3: Cross multiply
    52,071.77x = 71,859.11 × 28,198.48
  4. Step 4: Simplify right side
    52,071.77x = 2,026,317,676.15
  5. Step 5: Solve for x
    x = 2,026,317,676.15/52,071.77
  6. Step 6: Final answer
    x = 38,913.94

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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.