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Finding the Fourth Proportional to 30,481.96, 42,062.34 and 19,303.72

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Solution

The fourth proportional to 30,481.96, 42,062.34 and 19,303.72 is: 26,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481.96 : 42,062.34 = 19,303.72 : x
  2. Step 2: Convert to fraction form
    30,481.96/42,062.34 = 19,303.72/x
  3. Step 3: Cross multiply
    30,481.96x = 42,062.34 × 19,303.72
  4. Step 4: Simplify right side
    30,481.96x = 811,959,633.90
  5. Step 5: Solve for x
    x = 811,959,633.90/30,481.96
  6. Step 6: Final answer
    x = 26,637.38

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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.