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Finding the Fourth Proportional to 52,071.53, 71,858.71 and 28,198.20

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Solution

The fourth proportional to 52,071.53, 71,858.71 and 28,198.20 is: 38,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.53 : 71,858.71 = 28,198.20 : x
  2. Step 2: Convert to fraction form
    52,071.53/71,858.71 = 28,198.20/x
  3. Step 3: Cross multiply
    52,071.53x = 71,858.71 × 28,198.20
  4. Step 4: Simplify right side
    52,071.53x = 2,026,286,621.17
  5. Step 5: Solve for x
    x = 2,026,286,621.17/52,071.53
  6. Step 6: Final answer
    x = 38,913.52

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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.