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Finding the Fourth Proportional to 23,671.08, 32,804.19 and 23,337

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Solution

The fourth proportional to 23,671.08, 32,804.19 and 23,337 is: 32,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671.08 : 32,804.19 = 23,337 : x
  2. Step 2: Convert to fraction form
    23,671.08/32,804.19 = 23,337/x
  3. Step 3: Cross multiply
    23,671.08x = 32,804.19 × 23,337
  4. Step 4: Simplify right side
    23,671.08x = 765,551,382.03
  5. Step 5: Solve for x
    x = 765,551,382.03/23,671.08
  6. Step 6: Final answer
    x = 32,341.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.