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Finding the Fourth Proportional to 68,047.65, 102,073.77 and 52,276.65

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Solution

The fourth proportional to 68,047.65, 102,073.77 and 52,276.65 is: 78,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.65 : 102,073.77 = 52,276.65 : x
  2. Step 2: Convert to fraction form
    68,047.65/102,073.77 = 52,276.65/x
  3. Step 3: Cross multiply
    68,047.65x = 102,073.77 × 52,276.65
  4. Step 4: Simplify right side
    68,047.65x = 5,336,074,748.47
  5. Step 5: Solve for x
    x = 5,336,074,748.47/68,047.65
  6. Step 6: Final answer
    x = 78,416.74

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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.