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Finding the Fourth Proportional to 30,885.21, 42,621.63 and 16,738.05

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Solution

The fourth proportional to 30,885.21, 42,621.63 and 16,738.05 is: 23,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.21 : 42,621.63 = 16,738.05 : x
  2. Step 2: Convert to fraction form
    30,885.21/42,621.63 = 16,738.05/x
  3. Step 3: Cross multiply
    30,885.21x = 42,621.63 × 16,738.05
  4. Step 4: Simplify right side
    30,885.21x = 713,403,071.08
  5. Step 5: Solve for x
    x = 713,403,071.08/30,885.21
  6. Step 6: Final answer
    x = 23,098.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.