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Finding the Fourth Proportional to 30,829.02, 46,225.99 and 9,765.02

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Solution

The fourth proportional to 30,829.02, 46,225.99 and 9,765.02 is: 14,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.02 : 46,225.99 = 9,765.02 : x
  2. Step 2: Convert to fraction form
    30,829.02/46,225.99 = 9,765.02/x
  3. Step 3: Cross multiply
    30,829.02x = 46,225.99 × 9,765.02
  4. Step 4: Simplify right side
    30,829.02x = 451,397,716.87
  5. Step 5: Solve for x
    x = 451,397,716.87/30,829.02
  6. Step 6: Final answer
    x = 14,641.97

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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.