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Finding the Fourth Proportional to 53,598, 80,396.46 and 22,025.28

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Solution

The fourth proportional to 53,598, 80,396.46 and 22,025.28 is: 33,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,598 : 80,396.46 = 22,025.28 : x
  2. Step 2: Convert to fraction form
    53,598/80,396.46 = 22,025.28/x
  3. Step 3: Cross multiply
    53,598x = 80,396.46 × 22,025.28
  4. Step 4: Simplify right side
    53,598x = 1,770,754,542.51
  5. Step 5: Solve for x
    x = 1,770,754,542.51/53,598
  6. Step 6: Final answer
    x = 33,037.70

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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.