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Finding the Fourth Proportional to 30,406.96, 41,961.63 and 16,978.20

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Solution

The fourth proportional to 30,406.96, 41,961.63 and 16,978.20 is: 23,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.96 : 41,961.63 = 16,978.20 : x
  2. Step 2: Convert to fraction form
    30,406.96/41,961.63 = 16,978.20/x
  3. Step 3: Cross multiply
    30,406.96x = 41,961.63 × 16,978.20
  4. Step 4: Simplify right side
    30,406.96x = 712,432,946.47
  5. Step 5: Solve for x
    x = 712,432,946.47/30,406.96
  6. Step 6: Final answer
    x = 23,429.93

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1.5x scale

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.