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Finding the Fourth Proportional to 30,728.95, 46,094.01 and 9,668.59

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Solution

The fourth proportional to 30,728.95, 46,094.01 and 9,668.59 is: 14,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.95 : 46,094.01 = 9,668.59 : x
  2. Step 2: Convert to fraction form
    30,728.95/46,094.01 = 9,668.59/x
  3. Step 3: Cross multiply
    30,728.95x = 46,094.01 × 9,668.59
  4. Step 4: Simplify right side
    30,728.95x = 445,664,084.15
  5. Step 5: Solve for x
    x = 445,664,084.15/30,728.95
  6. Step 6: Final answer
    x = 14,503.07

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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.