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Finding the Fourth Proportional to 32,568, 44,944.08 and 17,664

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Solution

The fourth proportional to 32,568, 44,944.08 and 17,664 is: 24,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568 : 44,944.08 = 17,664 : x
  2. Step 2: Convert to fraction form
    32,568/44,944.08 = 17,664/x
  3. Step 3: Cross multiply
    32,568x = 44,944.08 × 17,664
  4. Step 4: Simplify right side
    32,568x = 793,892,229.12
  5. Step 5: Solve for x
    x = 793,892,229.12/32,568
  6. Step 6: Final answer
    x = 24,376.45

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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.