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Finding the Fourth Proportional to 30,698.92, 42,406.86 and 23,713.48

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Solution

The fourth proportional to 30,698.92, 42,406.86 and 23,713.48 is: 32,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.92 : 42,406.86 = 23,713.48 : x
  2. Step 2: Convert to fraction form
    30,698.92/42,406.86 = 23,713.48/x
  3. Step 3: Cross multiply
    30,698.92x = 42,406.86 × 23,713.48
  4. Step 4: Simplify right side
    30,698.92x = 1,005,614,226.47
  5. Step 5: Solve for x
    x = 1,005,614,226.47/30,698.92
  6. Step 6: Final answer
    x = 32,757.32

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