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Finding the Fourth Proportional to 33,410, 46,105.90 and 18,506

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Solution

The fourth proportional to 33,410, 46,105.90 and 18,506 is: 25,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,410 : 46,105.90 = 18,506 : x
  2. Step 2: Convert to fraction form
    33,410/46,105.90 = 18,506/x
  3. Step 3: Cross multiply
    33,410x = 46,105.90 × 18,506
  4. Step 4: Simplify right side
    33,410x = 853,235,785.40
  5. Step 5: Solve for x
    x = 853,235,785.40/33,410
  6. Step 6: Final answer
    x = 25,538.34

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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.