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Finding the Fourth Proportional to 52,074.15, 71,862.27 and 28,200.81

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Solution

The fourth proportional to 52,074.15, 71,862.27 and 28,200.81 is: 38,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.15 : 71,862.27 = 28,200.81 : x
  2. Step 2: Convert to fraction form
    52,074.15/71,862.27 = 28,200.81/x
  3. Step 3: Cross multiply
    52,074.15x = 71,862.27 × 28,200.81
  4. Step 4: Simplify right side
    52,074.15x = 2,026,574,222.44
  5. Step 5: Solve for x
    x = 2,026,574,222.44/52,074.15
  6. Step 6: Final answer
    x = 38,917.09

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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.