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Finding the Fourth Proportional to 38,006.58, 52,463.88 and 34,020.80

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Solution

The fourth proportional to 38,006.58, 52,463.88 and 34,020.80 is: 46,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006.58 : 52,463.88 = 34,020.80 : x
  2. Step 2: Convert to fraction form
    38,006.58/52,463.88 = 34,020.80/x
  3. Step 3: Cross multiply
    38,006.58x = 52,463.88 × 34,020.80
  4. Step 4: Simplify right side
    38,006.58x = 1,784,863,168.70
  5. Step 5: Solve for x
    x = 1,784,863,168.70/38,006.58
  6. Step 6: Final answer
    x = 46,961.95

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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.