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Finding the Fourth Proportional to 30,999.38, 42,777.51 and 16,852.16

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Solution

The fourth proportional to 30,999.38, 42,777.51 and 16,852.16 is: 23,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.38 : 42,777.51 = 16,852.16 : x
  2. Step 2: Convert to fraction form
    30,999.38/42,777.51 = 16,852.16/x
  3. Step 3: Cross multiply
    30,999.38x = 42,777.51 × 16,852.16
  4. Step 4: Simplify right side
    30,999.38x = 720,893,442.92
  5. Step 5: Solve for x
    x = 720,893,442.92/30,999.38
  6. Step 6: Final answer
    x = 23,255.09

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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.