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Finding the Fourth Proportional to 68,050.65, 102,078.27 and 52,279.65

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Solution

The fourth proportional to 68,050.65, 102,078.27 and 52,279.65 is: 78,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,050.65 : 102,078.27 = 52,279.65 : x
  2. Step 2: Convert to fraction form
    68,050.65/102,078.27 = 52,279.65/x
  3. Step 3: Cross multiply
    68,050.65x = 102,078.27 × 52,279.65
  4. Step 4: Simplify right side
    68,050.65x = 5,336,616,228.21
  5. Step 5: Solve for x
    x = 5,336,616,228.21/68,050.65
  6. Step 6: Final answer
    x = 78,421.24

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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.