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Finding the Fourth Proportional to 30,307.50, 41,825.16 and 16,879.32

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Solution

The fourth proportional to 30,307.50, 41,825.16 and 16,879.32 is: 23,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,307.50 : 41,825.16 = 16,879.32 : x
  2. Step 2: Convert to fraction form
    30,307.50/41,825.16 = 16,879.32/x
  3. Step 3: Cross multiply
    30,307.50x = 41,825.16 × 16,879.32
  4. Step 4: Simplify right side
    30,307.50x = 705,980,259.69
  5. Step 5: Solve for x
    x = 705,980,259.69/30,307.50
  6. Step 6: Final answer
    x = 23,293.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.