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Finding the Fourth Proportional to 52,071.27, 71,858.42 and 28,197.98

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Solution

The fourth proportional to 52,071.27, 71,858.42 and 28,197.98 is: 38,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.27 : 71,858.42 = 28,197.98 : x
  2. Step 2: Convert to fraction form
    52,071.27/71,858.42 = 28,197.98/x
  3. Step 3: Cross multiply
    52,071.27x = 71,858.42 × 28,197.98
  4. Step 4: Simplify right side
    52,071.27x = 2,026,262,289.99
  5. Step 5: Solve for x
    x = 2,026,262,289.99/52,071.27
  6. Step 6: Final answer
    x = 38,913.25

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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.