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Finding the Fourth Proportional to 30,641.22, 45,950.49 and 10,914.54

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Solution

The fourth proportional to 30,641.22, 45,950.49 and 10,914.54 is: 16,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.22 : 45,950.49 = 10,914.54 : x
  2. Step 2: Convert to fraction form
    30,641.22/45,950.49 = 10,914.54/x
  3. Step 3: Cross multiply
    30,641.22x = 45,950.49 × 10,914.54
  4. Step 4: Simplify right side
    30,641.22x = 501,528,461.12
  5. Step 5: Solve for x
    x = 501,528,461.12/30,641.22
  6. Step 6: Final answer
    x = 16,367.77

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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.