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Finding the Fourth Proportional to 32,477.25, 48,717.30 and 10,292.25

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Solution

The fourth proportional to 32,477.25, 48,717.30 and 10,292.25 is: 15,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.25 : 48,717.30 = 10,292.25 : x
  2. Step 2: Convert to fraction form
    32,477.25/48,717.30 = 10,292.25/x
  3. Step 3: Cross multiply
    32,477.25x = 48,717.30 × 10,292.25
  4. Step 4: Simplify right side
    32,477.25x = 501,410,630.93
  5. Step 5: Solve for x
    x = 501,410,630.93/32,477.25
  6. Step 6: Final answer
    x = 15,438.83

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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.