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Finding the Fourth Proportional to 30,419.38, 45,617.46 and 14,620

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Solution

The fourth proportional to 30,419.38, 45,617.46 and 14,620 is: 21,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.38 : 45,617.46 = 14,620 : x
  2. Step 2: Convert to fraction form
    30,419.38/45,617.46 = 14,620/x
  3. Step 3: Cross multiply
    30,419.38x = 45,617.46 × 14,620
  4. Step 4: Simplify right side
    30,419.38x = 666,927,265.20
  5. Step 5: Solve for x
    x = 666,927,265.20/30,419.38
  6. Step 6: Final answer
    x = 21,924.42

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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.