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Finding the Fourth Proportional to 48,852.65, 67,405.74 and 29,742.41

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Solution

The fourth proportional to 48,852.65, 67,405.74 and 29,742.41 is: 41,037.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,852.65 : 67,405.74 = 29,742.41 : x
  2. Step 2: Convert to fraction form
    48,852.65/67,405.74 = 29,742.41/x
  3. Step 3: Cross multiply
    48,852.65x = 67,405.74 × 29,742.41
  4. Step 4: Simplify right side
    48,852.65x = 2,004,809,155.43
  5. Step 5: Solve for x
    x = 2,004,809,155.43/48,852.65
  6. Step 6: Final answer
    x = 41,037.88

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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.