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Finding the Fourth Proportional to 34,152.34, 47,099.52 and 21,406.80

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Solution

The fourth proportional to 34,152.34, 47,099.52 and 21,406.80 is: 29,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.34 : 47,099.52 = 21,406.80 : x
  2. Step 2: Convert to fraction form
    34,152.34/47,099.52 = 21,406.80/x
  3. Step 3: Cross multiply
    34,152.34x = 47,099.52 × 21,406.80
  4. Step 4: Simplify right side
    34,152.34x = 1,008,250,004.74
  5. Step 5: Solve for x
    x = 1,008,250,004.74/34,152.34
  6. Step 6: Final answer
    x = 29,522.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.