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Finding the Fourth Proportional to 30,822.62, 46,224.62 and 16,023.44

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Solution

The fourth proportional to 30,822.62, 46,224.62 and 16,023.44 is: 24,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822.62 : 46,224.62 = 16,023.44 : x
  2. Step 2: Convert to fraction form
    30,822.62/46,224.62 = 16,023.44/x
  3. Step 3: Cross multiply
    30,822.62x = 46,224.62 × 16,023.44
  4. Step 4: Simplify right side
    30,822.62x = 740,677,425.09
  5. Step 5: Solve for x
    x = 740,677,425.09/30,822.62
  6. Step 6: Final answer
    x = 24,030.32

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1.5x scale

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.