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Finding the Fourth Proportional to 105,618.30, 158,374.74 and 34,531.68

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Solution

The fourth proportional to 105,618.30, 158,374.74 and 34,531.68 is: 51,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,618.30 : 158,374.74 = 34,531.68 : x
  2. Step 2: Convert to fraction form
    105,618.30/158,374.74 = 34,531.68/x
  3. Step 3: Cross multiply
    105,618.30x = 158,374.74 × 34,531.68
  4. Step 4: Simplify right side
    105,618.30x = 5,468,945,841.76
  5. Step 5: Solve for x
    x = 5,468,945,841.76/105,618.30
  6. Step 6: Final answer
    x = 51,780.29

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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.