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Finding the Fourth Proportional to 30,962.46, 42,727.82 and 16,815.40

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Solution

The fourth proportional to 30,962.46, 42,727.82 and 16,815.40 is: 23,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.46 : 42,727.82 = 16,815.40 : x
  2. Step 2: Convert to fraction form
    30,962.46/42,727.82 = 16,815.40/x
  3. Step 3: Cross multiply
    30,962.46x = 42,727.82 × 16,815.40
  4. Step 4: Simplify right side
    30,962.46x = 718,485,384.43
  5. Step 5: Solve for x
    x = 718,485,384.43/30,962.46
  6. Step 6: Final answer
    x = 23,205.05

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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.