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Finding the Fourth Proportional to 49,797.64, 74,697.24 and 14,740.84

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Solution

The fourth proportional to 49,797.64, 74,697.24 and 14,740.84 is: 22,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797.64 : 74,697.24 = 14,740.84 : x
  2. Step 2: Convert to fraction form
    49,797.64/74,697.24 = 14,740.84/x
  3. Step 3: Cross multiply
    49,797.64x = 74,697.24 × 14,740.84
  4. Step 4: Simplify right side
    49,797.64x = 1,101,100,063.28
  5. Step 5: Solve for x
    x = 1,101,100,063.28/49,797.64
  6. Step 6: Final answer
    x = 22,111.49

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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.