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Finding the Fourth Proportional to 32,531.70, 48,764.28 and 18,462

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Solution

The fourth proportional to 32,531.70, 48,764.28 and 18,462 is: 27,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,531.70 : 48,764.28 = 18,462 : x
  2. Step 2: Convert to fraction form
    32,531.70/48,764.28 = 18,462/x
  3. Step 3: Cross multiply
    32,531.70x = 48,764.28 × 18,462
  4. Step 4: Simplify right side
    32,531.70x = 900,286,137.36
  5. Step 5: Solve for x
    x = 900,286,137.36/32,531.70
  6. Step 6: Final answer
    x = 27,674.12

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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.