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Finding the Fourth Proportional to 30,589.88, 45,897.06 and 13,957.74

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Solution

The fourth proportional to 30,589.88, 45,897.06 and 13,957.74 is: 20,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.88 : 45,897.06 = 13,957.74 : x
  2. Step 2: Convert to fraction form
    30,589.88/45,897.06 = 13,957.74/x
  3. Step 3: Cross multiply
    30,589.88x = 45,897.06 × 13,957.74
  4. Step 4: Simplify right side
    30,589.88x = 640,619,230.24
  5. Step 5: Solve for x
    x = 640,619,230.24/30,589.88
  6. Step 6: Final answer
    x = 20,942.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.