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Finding the Fourth Proportional to 30,458.40, 45,685.98 and 9,680.28

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Solution

The fourth proportional to 30,458.40, 45,685.98 and 9,680.28 is: 14,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.40 : 45,685.98 = 9,680.28 : x
  2. Step 2: Convert to fraction form
    30,458.40/45,685.98 = 9,680.28/x
  3. Step 3: Cross multiply
    30,458.40x = 45,685.98 × 9,680.28
  4. Step 4: Simplify right side
    30,458.40x = 442,253,078.47
  5. Step 5: Solve for x
    x = 442,253,078.47/30,458.40
  6. Step 6: Final answer
    x = 14,519.91

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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.