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Finding the Fourth Proportional to 32,494.68, 48,742.44 and 11,435.37

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Solution

The fourth proportional to 32,494.68, 48,742.44 and 11,435.37 is: 17,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.68 : 48,742.44 = 11,435.37 : x
  2. Step 2: Convert to fraction form
    32,494.68/48,742.44 = 11,435.37/x
  3. Step 3: Cross multiply
    32,494.68x = 48,742.44 × 11,435.37
  4. Step 4: Simplify right side
    32,494.68x = 557,387,836.10
  5. Step 5: Solve for x
    x = 557,387,836.10/32,494.68
  6. Step 6: Final answer
    x = 17,153.20

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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.