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Finding the Fourth Proportional to 30,907.38, 42,652.08 and 16,760.19

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Solution

The fourth proportional to 30,907.38, 42,652.08 and 16,760.19 is: 23,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.38 : 42,652.08 = 16,760.19 : x
  2. Step 2: Convert to fraction form
    30,907.38/42,652.08 = 16,760.19/x
  3. Step 3: Cross multiply
    30,907.38x = 42,652.08 × 16,760.19
  4. Step 4: Simplify right side
    30,907.38x = 714,856,964.70
  5. Step 5: Solve for x
    x = 714,856,964.70/30,907.38
  6. Step 6: Final answer
    x = 23,129.01

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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.