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Finding the Fourth Proportional to 32,548.50, 44,916.93 and 17,644.50

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Solution

The fourth proportional to 32,548.50, 44,916.93 and 17,644.50 is: 24,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.50 : 44,916.93 = 17,644.50 : x
  2. Step 2: Convert to fraction form
    32,548.50/44,916.93 = 17,644.50/x
  3. Step 3: Cross multiply
    32,548.50x = 44,916.93 × 17,644.50
  4. Step 4: Simplify right side
    32,548.50x = 792,536,771.39
  5. Step 5: Solve for x
    x = 792,536,771.39/32,548.50
  6. Step 6: Final answer
    x = 24,349.41

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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.