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Finding the Fourth Proportional to 32,324, 44,607.66 and 21,146

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Solution

The fourth proportional to 32,324, 44,607.66 and 21,146 is: 29,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324 : 44,607.66 = 21,146 : x
  2. Step 2: Convert to fraction form
    32,324/44,607.66 = 21,146/x
  3. Step 3: Cross multiply
    32,324x = 44,607.66 × 21,146
  4. Step 4: Simplify right side
    32,324x = 943,273,578.36
  5. Step 5: Solve for x
    x = 943,273,578.36/32,324
  6. Step 6: Final answer
    x = 29,181.83

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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.