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Finding the Fourth Proportional to 66,838.36, 92,233.42 and 38,156.89

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Solution

The fourth proportional to 66,838.36, 92,233.42 and 38,156.89 is: 52,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,838.36 : 92,233.42 = 38,156.89 : x
  2. Step 2: Convert to fraction form
    66,838.36/92,233.42 = 38,156.89/x
  3. Step 3: Cross multiply
    66,838.36x = 92,233.42 × 38,156.89
  4. Step 4: Simplify right side
    66,838.36x = 3,519,339,809.31
  5. Step 5: Solve for x
    x = 3,519,339,809.31/66,838.36
  6. Step 6: Final answer
    x = 52,654.49

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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.