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Finding the Fourth Proportional to 30,903.97, 46,357.80 and 8,719.24

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Solution

The fourth proportional to 30,903.97, 46,357.80 and 8,719.24 is: 13,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.97 : 46,357.80 = 8,719.24 : x
  2. Step 2: Convert to fraction form
    30,903.97/46,357.80 = 8,719.24/x
  3. Step 3: Cross multiply
    30,903.97x = 46,357.80 × 8,719.24
  4. Step 4: Simplify right side
    30,903.97x = 404,204,784.07
  5. Step 5: Solve for x
    x = 404,204,784.07/30,903.97
  6. Step 6: Final answer
    x = 13,079.38

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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.