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Finding the Fourth Proportional to 49,143, 73,714.50 and 16,311

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Solution

The fourth proportional to 49,143, 73,714.50 and 16,311 is: 24,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,143 : 73,714.50 = 16,311 : x
  2. Step 2: Convert to fraction form
    49,143/73,714.50 = 16,311/x
  3. Step 3: Cross multiply
    49,143x = 73,714.50 × 16,311
  4. Step 4: Simplify right side
    49,143x = 1,202,357,209.50
  5. Step 5: Solve for x
    x = 1,202,357,209.50/49,143
  6. Step 6: Final answer
    x = 24,466.50

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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.