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Finding the Fourth Proportional to 53,203.68, 79,824.32 and 33,460.16

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Solution

The fourth proportional to 53,203.68, 79,824.32 and 33,460.16 is: 50,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,203.68 : 79,824.32 = 33,460.16 : x
  2. Step 2: Convert to fraction form
    53,203.68/79,824.32 = 33,460.16/x
  3. Step 3: Cross multiply
    53,203.68x = 79,824.32 × 33,460.16
  4. Step 4: Simplify right side
    53,203.68x = 2,670,934,519.09
  5. Step 5: Solve for x
    x = 2,670,934,519.09/53,203.68
  6. Step 6: Final answer
    x = 50,202.06

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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.