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Finding the Fourth Proportional to 32,876, 45,368.88 and 17,972

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Solution

The fourth proportional to 32,876, 45,368.88 and 17,972 is: 24,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876 : 45,368.88 = 17,972 : x
  2. Step 2: Convert to fraction form
    32,876/45,368.88 = 17,972/x
  3. Step 3: Cross multiply
    32,876x = 45,368.88 × 17,972
  4. Step 4: Simplify right side
    32,876x = 815,369,511.36
  5. Step 5: Solve for x
    x = 815,369,511.36/32,876
  6. Step 6: Final answer
    x = 24,801.36

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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.