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Finding the Fourth Proportional to 30,852.83, 46,283.09 and 10,857.60

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Solution

The fourth proportional to 30,852.83, 46,283.09 and 10,857.60 is: 16,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.83 : 46,283.09 = 10,857.60 : x
  2. Step 2: Convert to fraction form
    30,852.83/46,283.09 = 10,857.60/x
  3. Step 3: Cross multiply
    30,852.83x = 46,283.09 × 10,857.60
  4. Step 4: Simplify right side
    30,852.83x = 502,523,223.70
  5. Step 5: Solve for x
    x = 502,523,223.70/30,852.83
  6. Step 6: Final answer
    x = 16,287.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.