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Finding the Fourth Proportional to 32,568, 44,943.84 and 18,420.54

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Solution

The fourth proportional to 32,568, 44,943.84 and 18,420.54 is: 25,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568 : 44,943.84 = 18,420.54 : x
  2. Step 2: Convert to fraction form
    32,568/44,943.84 = 18,420.54/x
  3. Step 3: Cross multiply
    32,568x = 44,943.84 × 18,420.54
  4. Step 4: Simplify right side
    32,568x = 827,889,802.47
  5. Step 5: Solve for x
    x = 827,889,802.47/32,568
  6. Step 6: Final answer
    x = 25,420.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.