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Finding the Fourth Proportional to 49,813.84, 74,714.04 and 14,757.20

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Solution

The fourth proportional to 49,813.84, 74,714.04 and 14,757.20 is: 22,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,813.84 : 74,714.04 = 14,757.20 : x
  2. Step 2: Convert to fraction form
    49,813.84/74,714.04 = 14,757.20/x
  3. Step 3: Cross multiply
    49,813.84x = 74,714.04 × 14,757.20
  4. Step 4: Simplify right side
    49,813.84x = 1,102,570,031.09
  5. Step 5: Solve for x
    x = 1,102,570,031.09/49,813.84
  6. Step 6: Final answer
    x = 22,133.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.