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Finding the Fourth Proportional to 32,662.58, 48,994.14 and 10,476

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Solution

The fourth proportional to 32,662.58, 48,994.14 and 10,476 is: 15,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,662.58 : 48,994.14 = 10,476 : x
  2. Step 2: Convert to fraction form
    32,662.58/48,994.14 = 10,476/x
  3. Step 3: Cross multiply
    32,662.58x = 48,994.14 × 10,476
  4. Step 4: Simplify right side
    32,662.58x = 513,262,610.64
  5. Step 5: Solve for x
    x = 513,262,610.64/32,662.58
  6. Step 6: Final answer
    x = 15,714.09

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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.