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Finding the Fourth Proportional to 68,054.16, 102,145.86 and 41,810.16

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Solution

The fourth proportional to 68,054.16, 102,145.86 and 41,810.16 is: 62,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,054.16 : 102,145.86 = 41,810.16 : x
  2. Step 2: Convert to fraction form
    68,054.16/102,145.86 = 41,810.16/x
  3. Step 3: Cross multiply
    68,054.16x = 102,145.86 × 41,810.16
  4. Step 4: Simplify right side
    68,054.16x = 4,270,734,749.94
  5. Step 5: Solve for x
    x = 4,270,734,749.94/68,054.16
  6. Step 6: Final answer
    x = 62,754.94

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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.