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Finding the Fourth Proportional to 32,551.50, 44,921.07 and 17,647.50

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Solution

The fourth proportional to 32,551.50, 44,921.07 and 17,647.50 is: 24,353.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.50 : 44,921.07 = 17,647.50 : x
  2. Step 2: Convert to fraction form
    32,551.50/44,921.07 = 17,647.50/x
  3. Step 3: Cross multiply
    32,551.50x = 44,921.07 × 17,647.50
  4. Step 4: Simplify right side
    32,551.50x = 792,744,582.83
  5. Step 5: Solve for x
    x = 792,744,582.83/32,551.50
  6. Step 6: Final answer
    x = 24,353.55

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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.