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Finding the Fourth Proportional to 49,978.97, 75,005.57 and 23,683.80

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Solution

The fourth proportional to 49,978.97, 75,005.57 and 23,683.80 is: 35,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.97 : 75,005.57 = 23,683.80 : x
  2. Step 2: Convert to fraction form
    49,978.97/75,005.57 = 23,683.80/x
  3. Step 3: Cross multiply
    49,978.97x = 75,005.57 × 23,683.80
  4. Step 4: Simplify right side
    49,978.97x = 1,776,416,977.98
  5. Step 5: Solve for x
    x = 1,776,416,977.98/49,978.97
  6. Step 6: Final answer
    x = 35,543.29

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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.