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Finding the Fourth Proportional to 30,614.70, 45,921.89 and 10,893.98

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Solution

The fourth proportional to 30,614.70, 45,921.89 and 10,893.98 is: 16,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.70 : 45,921.89 = 10,893.98 : x
  2. Step 2: Convert to fraction form
    30,614.70/45,921.89 = 10,893.98/x
  3. Step 3: Cross multiply
    30,614.70x = 45,921.89 × 10,893.98
  4. Step 4: Simplify right side
    30,614.70x = 500,272,151.22
  5. Step 5: Solve for x
    x = 500,272,151.22/30,614.70
  6. Step 6: Final answer
    x = 16,340.91

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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.