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Finding the Fourth Proportional to 30,987.96, 42,763.47 and 16,840.86

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Solution

The fourth proportional to 30,987.96, 42,763.47 and 16,840.86 is: 23,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987.96 : 42,763.47 = 16,840.86 : x
  2. Step 2: Convert to fraction form
    30,987.96/42,763.47 = 16,840.86/x
  3. Step 3: Cross multiply
    30,987.96x = 42,763.47 × 16,840.86
  4. Step 4: Simplify right side
    30,987.96x = 720,173,611.38
  5. Step 5: Solve for x
    x = 720,173,611.38/30,987.96
  6. Step 6: Final answer
    x = 23,240.43

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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.