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Finding the Fourth Proportional to 30,097.32, 45,116.28 and 14,274.60

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Solution

The fourth proportional to 30,097.32, 45,116.28 and 14,274.60 is: 21,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.32 : 45,116.28 = 14,274.60 : x
  2. Step 2: Convert to fraction form
    30,097.32/45,116.28 = 14,274.60/x
  3. Step 3: Cross multiply
    30,097.32x = 45,116.28 × 14,274.60
  4. Step 4: Simplify right side
    30,097.32x = 644,016,850.49
  5. Step 5: Solve for x
    x = 644,016,850.49/30,097.32
  6. Step 6: Final answer
    x = 21,397.81

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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.