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Finding the Fourth Proportional to 68,409.44, 102,477.60 and 44,964.80

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Solution

The fourth proportional to 68,409.44, 102,477.60 and 44,964.80 is: 67,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,409.44 : 102,477.60 = 44,964.80 : x
  2. Step 2: Convert to fraction form
    68,409.44/102,477.60 = 44,964.80/x
  3. Step 3: Cross multiply
    68,409.44x = 102,477.60 × 44,964.80
  4. Step 4: Simplify right side
    68,409.44x = 4,607,884,788.48
  5. Step 5: Solve for x
    x = 4,607,884,788.48/68,409.44
  6. Step 6: Final answer
    x = 67,357.44

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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.