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Finding the Fourth Proportional to 30,996, 46,662.69 and 28,240.38

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Solution

The fourth proportional to 30,996, 46,662.69 and 28,240.38 is: 42,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 46,662.69 = 28,240.38 : x
  2. Step 2: Convert to fraction form
    30,996/46,662.69 = 28,240.38/x
  3. Step 3: Cross multiply
    30,996x = 46,662.69 × 28,240.38
  4. Step 4: Simplify right side
    30,996x = 1,317,772,097.42
  5. Step 5: Solve for x
    x = 1,317,772,097.42/30,996
  6. Step 6: Final answer
    x = 42,514.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.