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Finding the Fourth Proportional to 30,823.02, 46,216.99 and 9,759.02

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Solution

The fourth proportional to 30,823.02, 46,216.99 and 9,759.02 is: 14,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.02 : 46,216.99 = 9,759.02 : x
  2. Step 2: Convert to fraction form
    30,823.02/46,216.99 = 9,759.02/x
  3. Step 3: Cross multiply
    30,823.02x = 46,216.99 × 9,759.02
  4. Step 4: Simplify right side
    30,823.02x = 451,032,529.75
  5. Step 5: Solve for x
    x = 451,032,529.75/30,823.02
  6. Step 6: Final answer
    x = 14,632.98

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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.