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Finding the Fourth Proportional to 30,681.52, 46,022.33 and 8,494.96

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Solution

The fourth proportional to 30,681.52, 46,022.33 and 8,494.96 is: 12,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.52 : 46,022.33 = 8,494.96 : x
  2. Step 2: Convert to fraction form
    30,681.52/46,022.33 = 8,494.96/x
  3. Step 3: Cross multiply
    30,681.52x = 46,022.33 × 8,494.96
  4. Step 4: Simplify right side
    30,681.52x = 390,957,758.64
  5. Step 5: Solve for x
    x = 390,957,758.64/30,681.52
  6. Step 6: Final answer
    x = 12,742.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.