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Finding the Fourth Proportional to 53,114.78, 79,698.18 and 33,402.62

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Solution

The fourth proportional to 53,114.78, 79,698.18 and 33,402.62 is: 50,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,114.78 : 79,698.18 = 33,402.62 : x
  2. Step 2: Convert to fraction form
    53,114.78/79,698.18 = 33,402.62/x
  3. Step 3: Cross multiply
    53,114.78x = 79,698.18 × 33,402.62
  4. Step 4: Simplify right side
    53,114.78x = 2,662,128,021.23
  5. Step 5: Solve for x
    x = 2,662,128,021.23/53,114.78
  6. Step 6: Final answer
    x = 50,120.29

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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.