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Finding the Fourth Proportional to 28,160.32, 38,782.32 and 23,401.60

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Solution

The fourth proportional to 28,160.32, 38,782.32 and 23,401.60 is: 32,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,160.32 : 38,782.32 = 23,401.60 : x
  2. Step 2: Convert to fraction form
    28,160.32/38,782.32 = 23,401.60/x
  3. Step 3: Cross multiply
    28,160.32x = 38,782.32 × 23,401.60
  4. Step 4: Simplify right side
    28,160.32x = 907,568,339.71
  5. Step 5: Solve for x
    x = 907,568,339.71/28,160.32
  6. Step 6: Final answer
    x = 32,228.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.