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Finding the Fourth Proportional to 32,017.70, 48,026.49 and 17,795.22

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Solution

The fourth proportional to 32,017.70, 48,026.49 and 17,795.22 is: 26,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.70 : 48,026.49 = 17,795.22 : x
  2. Step 2: Convert to fraction form
    32,017.70/48,026.49 = 17,795.22/x
  3. Step 3: Cross multiply
    32,017.70x = 48,026.49 × 17,795.22
  4. Step 4: Simplify right side
    32,017.70x = 854,641,955.38
  5. Step 5: Solve for x
    x = 854,641,955.38/32,017.70
  6. Step 6: Final answer
    x = 26,692.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.