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Finding the Fourth Proportional to 30,679.14, 46,013.58 and 8,494.76

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Solution

The fourth proportional to 30,679.14, 46,013.58 and 8,494.76 is: 12,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.14 : 46,013.58 = 8,494.76 : x
  2. Step 2: Convert to fraction form
    30,679.14/46,013.58 = 8,494.76/x
  3. Step 3: Cross multiply
    30,679.14x = 46,013.58 × 8,494.76
  4. Step 4: Simplify right side
    30,679.14x = 390,874,225.04
  5. Step 5: Solve for x
    x = 390,874,225.04/30,679.14
  6. Step 6: Final answer
    x = 12,740.72

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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.