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Finding the Fourth Proportional to 52,123.58, 71,930.51 and 28,250.24

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Solution

The fourth proportional to 52,123.58, 71,930.51 and 28,250.24 is: 38,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,123.58 : 71,930.51 = 28,250.24 : x
  2. Step 2: Convert to fraction form
    52,123.58/71,930.51 = 28,250.24/x
  3. Step 3: Cross multiply
    52,123.58x = 71,930.51 × 28,250.24
  4. Step 4: Simplify right side
    52,123.58x = 2,032,054,029.57
  5. Step 5: Solve for x
    x = 2,032,054,029.57/52,123.58
  6. Step 6: Final answer
    x = 38,985.31

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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.