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Finding the Fourth Proportional to 29,982.88, 41,380.02 and 17,407.63

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Solution

The fourth proportional to 29,982.88, 41,380.02 and 17,407.63 is: 24,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.88 : 41,380.02 = 17,407.63 : x
  2. Step 2: Convert to fraction form
    29,982.88/41,380.02 = 17,407.63/x
  3. Step 3: Cross multiply
    29,982.88x = 41,380.02 × 17,407.63
  4. Step 4: Simplify right side
    29,982.88x = 720,327,783.61
  5. Step 5: Solve for x
    x = 720,327,783.61/29,982.88
  6. Step 6: Final answer
    x = 24,024.64

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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.