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Finding the Fourth Proportional to 30,180.32, 45,204.96 and 18,458

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Solution

The fourth proportional to 30,180.32, 45,204.96 and 18,458 is: 27,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180.32 : 45,204.96 = 18,458 : x
  2. Step 2: Convert to fraction form
    30,180.32/45,204.96 = 18,458/x
  3. Step 3: Cross multiply
    30,180.32x = 45,204.96 × 18,458
  4. Step 4: Simplify right side
    30,180.32x = 834,393,151.68
  5. Step 5: Solve for x
    x = 834,393,151.68/30,180.32
  6. Step 6: Final answer
    x = 27,646.93

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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.