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Finding the Fourth Proportional to 35,321.85, 48,742.56 and 19,406.52

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Solution

The fourth proportional to 35,321.85, 48,742.56 and 19,406.52 is: 26,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321.85 : 48,742.56 = 19,406.52 : x
  2. Step 2: Convert to fraction form
    35,321.85/48,742.56 = 19,406.52/x
  3. Step 3: Cross multiply
    35,321.85x = 48,742.56 × 19,406.52
  4. Step 4: Simplify right side
    35,321.85x = 945,923,465.49
  5. Step 5: Solve for x
    x = 945,923,465.49/35,321.85
  6. Step 6: Final answer
    x = 26,780.12

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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.