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Finding the Fourth Proportional to 32,353.17, 44,647.38 and 18,206.32

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Solution

The fourth proportional to 32,353.17, 44,647.38 and 18,206.32 is: 25,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.17 : 44,647.38 = 18,206.32 : x
  2. Step 2: Convert to fraction form
    32,353.17/44,647.38 = 18,206.32/x
  3. Step 3: Cross multiply
    32,353.17x = 44,647.38 × 18,206.32
  4. Step 4: Simplify right side
    32,353.17x = 812,864,408.33
  5. Step 5: Solve for x
    x = 812,864,408.33/32,353.17
  6. Step 6: Final answer
    x = 25,124.72

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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.