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Finding the Fourth Proportional to 32,496, 44,846.40 and 18,350.40

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Solution

The fourth proportional to 32,496, 44,846.40 and 18,350.40 is: 25,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496 : 44,846.40 = 18,350.40 : x
  2. Step 2: Convert to fraction form
    32,496/44,846.40 = 18,350.40/x
  3. Step 3: Cross multiply
    32,496x = 44,846.40 × 18,350.40
  4. Step 4: Simplify right side
    32,496x = 822,949,378.56
  5. Step 5: Solve for x
    x = 822,949,378.56/32,496
  6. Step 6: Final answer
    x = 25,324.64

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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.