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Finding the Fourth Proportional to 33,677, 46,475.70 and 18,773

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Solution

The fourth proportional to 33,677, 46,475.70 and 18,773 is: 25,907.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,677 : 46,475.70 = 18,773 : x
  2. Step 2: Convert to fraction form
    33,677/46,475.70 = 18,773/x
  3. Step 3: Cross multiply
    33,677x = 46,475.70 × 18,773
  4. Step 4: Simplify right side
    33,677x = 872,488,316.10
  5. Step 5: Solve for x
    x = 872,488,316.10/33,677
  6. Step 6: Final answer
    x = 25,907.54

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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.