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Finding the Fourth Proportional to 55,106.49, 82,665.21 and 17,657.16

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Solution

The fourth proportional to 55,106.49, 82,665.21 and 17,657.16 is: 26,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,106.49 : 82,665.21 = 17,657.16 : x
  2. Step 2: Convert to fraction form
    55,106.49/82,665.21 = 17,657.16/x
  3. Step 3: Cross multiply
    55,106.49x = 82,665.21 × 17,657.16
  4. Step 4: Simplify right side
    55,106.49x = 1,459,632,839.40
  5. Step 5: Solve for x
    x = 1,459,632,839.40/55,106.49
  6. Step 6: Final answer
    x = 26,487.49

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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.