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Finding the Fourth Proportional to 30,764.81, 42,434.22 and 23,613.32

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Solution

The fourth proportional to 30,764.81, 42,434.22 and 23,613.32 is: 32,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.81 : 42,434.22 = 23,613.32 : x
  2. Step 2: Convert to fraction form
    30,764.81/42,434.22 = 23,613.32/x
  3. Step 3: Cross multiply
    30,764.81x = 42,434.22 × 23,613.32
  4. Step 4: Simplify right side
    30,764.81x = 1,002,012,815.81
  5. Step 5: Solve for x
    x = 1,002,012,815.81/30,764.81
  6. Step 6: Final answer
    x = 32,570.10

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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.