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Finding the Fourth Proportional to 34,851.96, 48,085.11 and 19,742.22

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Solution

The fourth proportional to 34,851.96, 48,085.11 and 19,742.22 is: 27,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,851.96 : 48,085.11 = 19,742.22 : x
  2. Step 2: Convert to fraction form
    34,851.96/48,085.11 = 19,742.22/x
  3. Step 3: Cross multiply
    34,851.96x = 48,085.11 × 19,742.22
  4. Step 4: Simplify right side
    34,851.96x = 949,306,820.34
  5. Step 5: Solve for x
    x = 949,306,820.34/34,851.96
  6. Step 6: Final answer
    x = 27,238.26

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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.