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Finding the Fourth Proportional to 32,408, 44,723.07 and 17,504

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Solution

The fourth proportional to 32,408, 44,723.07 and 17,504 is: 24,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408 : 44,723.07 = 17,504 : x
  2. Step 2: Convert to fraction form
    32,408/44,723.07 = 17,504/x
  3. Step 3: Cross multiply
    32,408x = 44,723.07 × 17,504
  4. Step 4: Simplify right side
    32,408x = 782,832,617.28
  5. Step 5: Solve for x
    x = 782,832,617.28/32,408
  6. Step 6: Final answer
    x = 24,155.54

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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.