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Finding the Fourth Proportional to 68,065, 102,097.50 and 26,541.16

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Solution

The fourth proportional to 68,065, 102,097.50 and 26,541.16 is: 39,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065 : 102,097.50 = 26,541.16 : x
  2. Step 2: Convert to fraction form
    68,065/102,097.50 = 26,541.16/x
  3. Step 3: Cross multiply
    68,065x = 102,097.50 × 26,541.16
  4. Step 4: Simplify right side
    68,065x = 2,709,786,083.10
  5. Step 5: Solve for x
    x = 2,709,786,083.10/68,065
  6. Step 6: Final answer
    x = 39,811.74

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Why These Related Problems?

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