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Finding the Fourth Proportional to 41,070.96, 61,614.02 and 12,998.07

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Solution

The fourth proportional to 41,070.96, 61,614.02 and 12,998.07 is: 19,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,070.96 : 61,614.02 = 12,998.07 : x
  2. Step 2: Convert to fraction form
    41,070.96/61,614.02 = 12,998.07/x
  3. Step 3: Cross multiply
    41,070.96x = 61,614.02 × 12,998.07
  4. Step 4: Simplify right side
    41,070.96x = 800,863,344.94
  5. Step 5: Solve for x
    x = 800,863,344.94/41,070.96
  6. Step 6: Final answer
    x = 19,499.50

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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.