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Finding the Fourth Proportional to 68,061.76, 102,097.50 and 18,141.60

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Solution

The fourth proportional to 68,061.76, 102,097.50 and 18,141.60 is: 27,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,061.76 : 102,097.50 = 18,141.60 : x
  2. Step 2: Convert to fraction form
    68,061.76/102,097.50 = 18,141.60/x
  3. Step 3: Cross multiply
    68,061.76x = 102,097.50 × 18,141.60
  4. Step 4: Simplify right side
    68,061.76x = 1,852,211,495.51
  5. Step 5: Solve for x
    x = 1,852,211,495.51/68,061.76
  6. Step 6: Final answer
    x = 27,213.69

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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.