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Finding the Fourth Proportional to 53,208, 79,768.32 and 22,065.60

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Solution

The fourth proportional to 53,208, 79,768.32 and 22,065.60 is: 33,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,208 : 79,768.32 = 22,065.60 : x
  2. Step 2: Convert to fraction form
    53,208/79,768.32 = 22,065.60/x
  3. Step 3: Cross multiply
    53,208x = 79,768.32 × 22,065.60
  4. Step 4: Simplify right side
    53,208x = 1,760,135,841.79
  5. Step 5: Solve for x
    x = 1,760,135,841.79/53,208
  6. Step 6: Final answer
    x = 33,080.29

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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.