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Finding the Fourth Proportional to 105,902.10, 158,811.54 and 38,418

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Solution

The fourth proportional to 105,902.10, 158,811.54 and 38,418 is: 57,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,902.10 : 158,811.54 = 38,418 : x
  2. Step 2: Convert to fraction form
    105,902.10/158,811.54 = 38,418/x
  3. Step 3: Cross multiply
    105,902.10x = 158,811.54 × 38,418
  4. Step 4: Simplify right side
    105,902.10x = 6,101,221,743.72
  5. Step 5: Solve for x
    x = 6,101,221,743.72/105,902.10
  6. Step 6: Final answer
    x = 57,611.91

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