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Finding the Fourth Proportional to 30,984, 46,500.72 and 11,268.24

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Solution

The fourth proportional to 30,984, 46,500.72 and 11,268.24 is: 16,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984 : 46,500.72 = 11,268.24 : x
  2. Step 2: Convert to fraction form
    30,984/46,500.72 = 11,268.24/x
  3. Step 3: Cross multiply
    30,984x = 46,500.72 × 11,268.24
  4. Step 4: Simplify right side
    30,984x = 523,981,273.13
  5. Step 5: Solve for x
    x = 523,981,273.13/30,984
  6. Step 6: Final answer
    x = 16,911.35

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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.