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Finding the Fourth Proportional to 32,364, 44,661.24 and 18,216

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Solution

The fourth proportional to 32,364, 44,661.24 and 18,216 is: 25,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,364 : 44,661.24 = 18,216 : x
  2. Step 2: Convert to fraction form
    32,364/44,661.24 = 18,216/x
  3. Step 3: Cross multiply
    32,364x = 44,661.24 × 18,216
  4. Step 4: Simplify right side
    32,364x = 813,549,147.84
  5. Step 5: Solve for x
    x = 813,549,147.84/32,364
  6. Step 6: Final answer
    x = 25,137.47

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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.