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Finding the Fourth Proportional to 52,131.58, 71,941.70 and 28,258.14

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Solution

The fourth proportional to 52,131.58, 71,941.70 and 28,258.14 is: 38,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,131.58 : 71,941.70 = 28,258.14 : x
  2. Step 2: Convert to fraction form
    52,131.58/71,941.70 = 28,258.14/x
  3. Step 3: Cross multiply
    52,131.58x = 71,941.70 × 28,258.14
  4. Step 4: Simplify right side
    52,131.58x = 2,032,938,630.44
  5. Step 5: Solve for x
    x = 2,032,938,630.44/52,131.58
  6. Step 6: Final answer
    x = 38,996.30

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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.