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Finding the Fourth Proportional to 52,091.64, 71,886.32 and 28,218.71

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Solution

The fourth proportional to 52,091.64, 71,886.32 and 28,218.71 is: 38,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,091.64 : 71,886.32 = 28,218.71 : x
  2. Step 2: Convert to fraction form
    52,091.64/71,886.32 = 28,218.71/x
  3. Step 3: Cross multiply
    52,091.64x = 71,886.32 × 28,218.71
  4. Step 4: Simplify right side
    52,091.64x = 2,028,539,361.49
  5. Step 5: Solve for x
    x = 2,028,539,361.49/52,091.64
  6. Step 6: Final answer
    x = 38,941.74

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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.