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Finding the Fourth Proportional to 106,276.50, 159,424.06 and 27,390.60

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Solution

The fourth proportional to 106,276.50, 159,424.06 and 27,390.60 is: 41,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,276.50 : 159,424.06 = 27,390.60 : x
  2. Step 2: Convert to fraction form
    106,276.50/159,424.06 = 27,390.60/x
  3. Step 3: Cross multiply
    106,276.50x = 159,424.06 × 27,390.60
  4. Step 4: Simplify right side
    106,276.50x = 4,366,720,657.84
  5. Step 5: Solve for x
    x = 4,366,720,657.84/106,276.50
  6. Step 6: Final answer
    x = 41,088.30

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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.