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Finding the Fourth Proportional to 76,993, 106,250.34 and 41,665

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Solution

The fourth proportional to 76,993, 106,250.34 and 41,665 is: 57,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993 : 106,250.34 = 41,665 : x
  2. Step 2: Convert to fraction form
    76,993/106,250.34 = 41,665/x
  3. Step 3: Cross multiply
    76,993x = 106,250.34 × 41,665
  4. Step 4: Simplify right side
    76,993x = 4,426,920,416.10
  5. Step 5: Solve for x
    x = 4,426,920,416.10/76,993
  6. Step 6: Final answer
    x = 57,497.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.