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Finding the Fourth Proportional to 105,808.38, 158,724.62 and 38,372.19

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Solution

The fourth proportional to 105,808.38, 158,724.62 and 38,372.19 is: 57,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,808.38 : 158,724.62 = 38,372.19 : x
  2. Step 2: Convert to fraction form
    105,808.38/158,724.62 = 38,372.19/x
  3. Step 3: Cross multiply
    105,808.38x = 158,724.62 × 38,372.19
  4. Step 4: Simplify right side
    105,808.38x = 6,090,611,084.46
  5. Step 5: Solve for x
    x = 6,090,611,084.46/105,808.38
  6. Step 6: Final answer
    x = 57,562.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.