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Finding the Fourth Proportional to 50,653.66, 75,989.13 and 22,583.90

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Solution

The fourth proportional to 50,653.66, 75,989.13 and 22,583.90 is: 33,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.66 : 75,989.13 = 22,583.90 : x
  2. Step 2: Convert to fraction form
    50,653.66/75,989.13 = 22,583.90/x
  3. Step 3: Cross multiply
    50,653.66x = 75,989.13 × 22,583.90
  4. Step 4: Simplify right side
    50,653.66x = 1,716,130,913.01
  5. Step 5: Solve for x
    x = 1,716,130,913.01/50,653.66
  6. Step 6: Final answer
    x = 33,879.70

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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.