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Finding the Fourth Proportional to 67,900, 93,703.44 and 38,092

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Solution

The fourth proportional to 67,900, 93,703.44 and 38,092 is: 52,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,900 : 93,703.44 = 38,092 : x
  2. Step 2: Convert to fraction form
    67,900/93,703.44 = 38,092/x
  3. Step 3: Cross multiply
    67,900x = 93,703.44 × 38,092
  4. Step 4: Simplify right side
    67,900x = 3,569,351,436.48
  5. Step 5: Solve for x
    x = 3,569,351,436.48/67,900
  6. Step 6: Final answer
    x = 52,567.77

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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.