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Finding the Fourth Proportional to 32,107.06, 48,120.48 and 15,464

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Solution

The fourth proportional to 32,107.06, 48,120.48 and 15,464 is: 23,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.06 : 48,120.48 = 15,464 : x
  2. Step 2: Convert to fraction form
    32,107.06/48,120.48 = 15,464/x
  3. Step 3: Cross multiply
    32,107.06x = 48,120.48 × 15,464
  4. Step 4: Simplify right side
    32,107.06x = 744,135,102.72
  5. Step 5: Solve for x
    x = 744,135,102.72/32,107.06
  6. Step 6: Final answer
    x = 23,176.68

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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.