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Finding the Fourth Proportional to 32,823, 45,296.01 and 17,919

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Solution

The fourth proportional to 32,823, 45,296.01 and 17,919 is: 24,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823 : 45,296.01 = 17,919 : x
  2. Step 2: Convert to fraction form
    32,823/45,296.01 = 17,919/x
  3. Step 3: Cross multiply
    32,823x = 45,296.01 × 17,919
  4. Step 4: Simplify right side
    32,823x = 811,659,203.19
  5. Step 5: Solve for x
    x = 811,659,203.19/32,823
  6. Step 6: Final answer
    x = 24,728.37

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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.