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Finding the Fourth Proportional to 32,825, 45,298.68 and 17,921

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Solution

The fourth proportional to 32,825, 45,298.68 and 17,921 is: 24,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,825 : 45,298.68 = 17,921 : x
  2. Step 2: Convert to fraction form
    32,825/45,298.68 = 17,921/x
  3. Step 3: Cross multiply
    32,825x = 45,298.68 × 17,921
  4. Step 4: Simplify right side
    32,825x = 811,797,644.28
  5. Step 5: Solve for x
    x = 811,797,644.28/32,825
  6. Step 6: Final answer
    x = 24,731.08

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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.