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Finding the Fourth Proportional to 52,087.42, 71,880.66 and 28,214.02

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Solution

The fourth proportional to 52,087.42, 71,880.66 and 28,214.02 is: 38,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,087.42 : 71,880.66 = 28,214.02 : x
  2. Step 2: Convert to fraction form
    52,087.42/71,880.66 = 28,214.02/x
  3. Step 3: Cross multiply
    52,087.42x = 71,880.66 × 28,214.02
  4. Step 4: Simplify right side
    52,087.42x = 2,028,042,378.85
  5. Step 5: Solve for x
    x = 2,028,042,378.85/52,087.42
  6. Step 6: Final answer
    x = 38,935.36

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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.