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Finding the Fourth Proportional to 34,956, 48,225.60 and 23,025.60

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Solution

The fourth proportional to 34,956, 48,225.60 and 23,025.60 is: 31,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,956 : 48,225.60 = 23,025.60 : x
  2. Step 2: Convert to fraction form
    34,956/48,225.60 = 23,025.60/x
  3. Step 3: Cross multiply
    34,956x = 48,225.60 × 23,025.60
  4. Step 4: Simplify right side
    34,956x = 1,110,423,375.36
  5. Step 5: Solve for x
    x = 1,110,423,375.36/34,956
  6. Step 6: Final answer
    x = 31,766.32

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Why These Related Problems?

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