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Finding the Fourth Proportional to 32,564, 44,938.32 and 18,416.54

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Solution

The fourth proportional to 32,564, 44,938.32 and 18,416.54 is: 25,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564 : 44,938.32 = 18,416.54 : x
  2. Step 2: Convert to fraction form
    32,564/44,938.32 = 18,416.54/x
  3. Step 3: Cross multiply
    32,564x = 44,938.32 × 18,416.54
  4. Step 4: Simplify right side
    32,564x = 827,608,367.81
  5. Step 5: Solve for x
    x = 827,608,367.81/32,564
  6. Step 6: Final answer
    x = 25,414.83

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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.