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Finding the Fourth Proportional to 27,152.44, 40,735.04 and 8,431.51

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Solution

The fourth proportional to 27,152.44, 40,735.04 and 8,431.51 is: 12,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152.44 : 40,735.04 = 8,431.51 : x
  2. Step 2: Convert to fraction form
    27,152.44/40,735.04 = 8,431.51/x
  3. Step 3: Cross multiply
    27,152.44x = 40,735.04 × 8,431.51
  4. Step 4: Simplify right side
    27,152.44x = 343,457,854.95
  5. Step 5: Solve for x
    x = 343,457,854.95/27,152.44
  6. Step 6: Final answer
    x = 12,649.24

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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.