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Finding the Fourth Proportional to 47,802.96, 71,714.16 and 16,640.64

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Solution

The fourth proportional to 47,802.96, 71,714.16 and 16,640.64 is: 24,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802.96 : 71,714.16 = 16,640.64 : x
  2. Step 2: Convert to fraction form
    47,802.96/71,714.16 = 16,640.64/x
  3. Step 3: Cross multiply
    47,802.96x = 71,714.16 × 16,640.64
  4. Step 4: Simplify right side
    47,802.96x = 1,193,369,519.46
  5. Step 5: Solve for x
    x = 1,193,369,519.46/47,802.96
  6. Step 6: Final answer
    x = 24,964.34

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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.