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Finding the Fourth Proportional to 66,834.01, 92,223.77 and 38,151

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Solution

The fourth proportional to 66,834.01, 92,223.77 and 38,151 is: 52,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834.01 : 92,223.77 = 38,151 : x
  2. Step 2: Convert to fraction form
    66,834.01/92,223.77 = 38,151/x
  3. Step 3: Cross multiply
    66,834.01x = 92,223.77 × 38,151
  4. Step 4: Simplify right side
    66,834.01x = 3,518,428,858.52
  5. Step 5: Solve for x
    x = 3,518,428,858.52/66,834.01
  6. Step 6: Final answer
    x = 52,644.29

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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.