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Finding the Fourth Proportional to 66,853.29, 92,237.76 and 38,172

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Solution

The fourth proportional to 66,853.29, 92,237.76 and 38,172 is: 52,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,853.29 : 92,237.76 = 38,172 : x
  2. Step 2: Convert to fraction form
    66,853.29/92,237.76 = 38,172/x
  3. Step 3: Cross multiply
    66,853.29x = 92,237.76 × 38,172
  4. Step 4: Simplify right side
    66,853.29x = 3,520,899,774.72
  5. Step 5: Solve for x
    x = 3,520,899,774.72/66,853.29
  6. Step 6: Final answer
    x = 52,666.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.