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Finding the Fourth Proportional to 52,123.84, 71,930.86 and 28,250.51

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Solution

The fourth proportional to 52,123.84, 71,930.86 and 28,250.51 is: 38,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,123.84 : 71,930.86 = 28,250.51 : x
  2. Step 2: Convert to fraction form
    52,123.84/71,930.86 = 28,250.51/x
  3. Step 3: Cross multiply
    52,123.84x = 71,930.86 × 28,250.51
  4. Step 4: Simplify right side
    52,123.84x = 2,032,083,049.46
  5. Step 5: Solve for x
    x = 2,032,083,049.46/52,123.84
  6. Step 6: Final answer
    x = 38,985.68

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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.