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Finding the Fourth Proportional to 32,143.89, 48,222.35 and 11,381.97

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Solution

The fourth proportional to 32,143.89, 48,222.35 and 11,381.97 is: 17,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.89 : 48,222.35 = 11,381.97 : x
  2. Step 2: Convert to fraction form
    32,143.89/48,222.35 = 11,381.97/x
  3. Step 3: Cross multiply
    32,143.89x = 48,222.35 × 11,381.97
  4. Step 4: Simplify right side
    32,143.89x = 548,865,341.03
  5. Step 5: Solve for x
    x = 548,865,341.03/32,143.89
  6. Step 6: Final answer
    x = 17,075.26

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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.