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Finding the Fourth Proportional to 23,873.36, 35,570.16 and 22,532

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Solution

The fourth proportional to 23,873.36, 35,570.16 and 22,532 is: 33,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.36 : 35,570.16 = 22,532 : x
  2. Step 2: Convert to fraction form
    23,873.36/35,570.16 = 22,532/x
  3. Step 3: Cross multiply
    23,873.36x = 35,570.16 × 22,532
  4. Step 4: Simplify right side
    23,873.36x = 801,466,845.12
  5. Step 5: Solve for x
    x = 801,466,845.12/23,873.36
  6. Step 6: Final answer
    x = 33,571.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.