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Finding the Fourth Proportional to 31,995.54, 47,994.66 and 9,809.10

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Solution

The fourth proportional to 31,995.54, 47,994.66 and 9,809.10 is: 14,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995.54 : 47,994.66 = 9,809.10 : x
  2. Step 2: Convert to fraction form
    31,995.54/47,994.66 = 9,809.10/x
  3. Step 3: Cross multiply
    31,995.54x = 47,994.66 × 9,809.10
  4. Step 4: Simplify right side
    31,995.54x = 470,784,419.41
  5. Step 5: Solve for x
    x = 470,784,419.41/31,995.54
  6. Step 6: Final answer
    x = 14,714.06

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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.