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Finding the Fourth Proportional to 32,414.16, 48,640.37 and 13,692.98

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Solution

The fourth proportional to 32,414.16, 48,640.37 and 13,692.98 is: 20,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.16 : 48,640.37 = 13,692.98 : x
  2. Step 2: Convert to fraction form
    32,414.16/48,640.37 = 13,692.98/x
  3. Step 3: Cross multiply
    32,414.16x = 48,640.37 × 13,692.98
  4. Step 4: Simplify right side
    32,414.16x = 666,031,301.94
  5. Step 5: Solve for x
    x = 666,031,301.94/32,414.16
  6. Step 6: Final answer
    x = 20,547.54

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