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Finding the Fourth Proportional to 30,047.78, 41,465.17 and 16,618.70

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Solution

The fourth proportional to 30,047.78, 41,465.17 and 16,618.70 is: 22,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.78 : 41,465.17 = 16,618.70 : x
  2. Step 2: Convert to fraction form
    30,047.78/41,465.17 = 16,618.70/x
  3. Step 3: Cross multiply
    30,047.78x = 41,465.17 × 16,618.70
  4. Step 4: Simplify right side
    30,047.78x = 689,097,220.68
  5. Step 5: Solve for x
    x = 689,097,220.68/30,047.78
  6. Step 6: Final answer
    x = 22,933.38

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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.