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Finding the Fourth Proportional to 52,071.64, 71,858.46 and 28,198.24

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Solution

The fourth proportional to 52,071.64, 71,858.46 and 28,198.24 is: 38,913.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.64 : 71,858.46 = 28,198.24 : x
  2. Step 2: Convert to fraction form
    52,071.64/71,858.46 = 28,198.24/x
  3. Step 3: Cross multiply
    52,071.64x = 71,858.46 × 28,198.24
  4. Step 4: Simplify right side
    52,071.64x = 2,026,282,101.11
  5. Step 5: Solve for x
    x = 2,026,282,101.11/52,071.64
  6. Step 6: Final answer
    x = 38,913.35

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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.