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Finding the Fourth Proportional to 30,680.32, 46,014.54 and 9,617.20

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Solution

The fourth proportional to 30,680.32, 46,014.54 and 9,617.20 is: 14,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680.32 : 46,014.54 = 9,617.20 : x
  2. Step 2: Convert to fraction form
    30,680.32/46,014.54 = 9,617.20/x
  3. Step 3: Cross multiply
    30,680.32x = 46,014.54 × 9,617.20
  4. Step 4: Simplify right side
    30,680.32x = 442,531,034.09
  5. Step 5: Solve for x
    x = 442,531,034.09/30,680.32
  6. Step 6: Final answer
    x = 14,423.94

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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.