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Finding the Fourth Proportional to 52,123.78, 71,930.91 and 28,250.38

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Solution

The fourth proportional to 52,123.78, 71,930.91 and 28,250.38 is: 38,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,123.78 : 71,930.91 = 28,250.38 : x
  2. Step 2: Convert to fraction form
    52,123.78/71,930.91 = 28,250.38/x
  3. Step 3: Cross multiply
    52,123.78x = 71,930.91 × 28,250.38
  4. Step 4: Simplify right side
    52,123.78x = 2,032,075,541.25
  5. Step 5: Solve for x
    x = 2,032,075,541.25/52,123.78
  6. Step 6: Final answer
    x = 38,985.58

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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.