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Finding the Fourth Proportional to 32,872.50, 45,364.77 and 17,968.50

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Solution

The fourth proportional to 32,872.50, 45,364.77 and 17,968.50 is: 24,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872.50 : 45,364.77 = 17,968.50 : x
  2. Step 2: Convert to fraction form
    32,872.50/45,364.77 = 17,968.50/x
  3. Step 3: Cross multiply
    32,872.50x = 45,364.77 × 17,968.50
  4. Step 4: Simplify right side
    32,872.50x = 815,136,869.75
  5. Step 5: Solve for x
    x = 815,136,869.75/32,872.50
  6. Step 6: Final answer
    x = 24,796.92

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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.