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Finding the Fourth Proportional to 34,744.46, 52,114.61 and 21,420

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Solution

The fourth proportional to 34,744.46, 52,114.61 and 21,420 is: 32,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,744.46 : 52,114.61 = 21,420 : x
  2. Step 2: Convert to fraction form
    34,744.46/52,114.61 = 21,420/x
  3. Step 3: Cross multiply
    34,744.46x = 52,114.61 × 21,420
  4. Step 4: Simplify right side
    34,744.46x = 1,116,294,999.75
  5. Step 5: Solve for x
    x = 1,116,294,999.75/34,744.46
  6. Step 6: Final answer
    x = 32,128.72

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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.