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Finding the Fourth Proportional to 34,152.60, 51,226.02 and 19,314.84

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Solution

The fourth proportional to 34,152.60, 51,226.02 and 19,314.84 is: 28,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.60 : 51,226.02 = 19,314.84 : x
  2. Step 2: Convert to fraction form
    34,152.60/51,226.02 = 19,314.84/x
  3. Step 3: Cross multiply
    34,152.60x = 51,226.02 × 19,314.84
  4. Step 4: Simplify right side
    34,152.60x = 989,422,380.14
  5. Step 5: Solve for x
    x = 989,422,380.14/34,152.60
  6. Step 6: Final answer
    x = 28,970.63

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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.