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Finding the Fourth Proportional to 46,135.69, 69,203.50 and 35,621

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Solution

The fourth proportional to 46,135.69, 69,203.50 and 35,621 is: 53,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135.69 : 69,203.50 = 35,621 : x
  2. Step 2: Convert to fraction form
    46,135.69/69,203.50 = 35,621/x
  3. Step 3: Cross multiply
    46,135.69x = 69,203.50 × 35,621
  4. Step 4: Simplify right side
    46,135.69x = 2,465,097,873.50
  5. Step 5: Solve for x
    x = 2,465,097,873.50/46,135.69
  6. Step 6: Final answer
    x = 53,431.47

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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.