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Finding the Fourth Proportional to 137,025, 205,537.58 and 38,529

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Solution

The fourth proportional to 137,025, 205,537.58 and 38,529 is: 57,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,025 : 205,537.58 = 38,529 : x
  2. Step 2: Convert to fraction form
    137,025/205,537.58 = 38,529/x
  3. Step 3: Cross multiply
    137,025x = 205,537.58 × 38,529
  4. Step 4: Simplify right side
    137,025x = 7,919,157,419.82
  5. Step 5: Solve for x
    x = 7,919,157,419.82/137,025
  6. Step 6: Final answer
    x = 57,793.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.