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Finding the Fourth Proportional to 32,804, 45,269.52 and 17,900

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Solution

The fourth proportional to 32,804, 45,269.52 and 17,900 is: 24,702

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804 : 45,269.52 = 17,900 : x
  2. Step 2: Convert to fraction form
    32,804/45,269.52 = 17,900/x
  3. Step 3: Cross multiply
    32,804x = 45,269.52 × 17,900
  4. Step 4: Simplify right side
    32,804x = 810,324,408
  5. Step 5: Solve for x
    x = 810,324,408/32,804
  6. Step 6: Final answer
    x = 24,702

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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.