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Finding the Fourth Proportional to 30,855.54, 42,580.74 and 16,708.38

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Solution

The fourth proportional to 30,855.54, 42,580.74 and 16,708.38 is: 23,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.54 : 42,580.74 = 16,708.38 : x
  2. Step 2: Convert to fraction form
    30,855.54/42,580.74 = 16,708.38/x
  3. Step 3: Cross multiply
    30,855.54x = 42,580.74 × 16,708.38
  4. Step 4: Simplify right side
    30,855.54x = 711,455,184.60
  5. Step 5: Solve for x
    x = 711,455,184.60/30,855.54
  6. Step 6: Final answer
    x = 23,057.62

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Why These Related Problems?

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