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Finding the Fourth Proportional to 30,883.23, 46,324.51 and 7,509.69

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Solution

The fourth proportional to 30,883.23, 46,324.51 and 7,509.69 is: 11,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.23 : 46,324.51 = 7,509.69 : x
  2. Step 2: Convert to fraction form
    30,883.23/46,324.51 = 7,509.69/x
  3. Step 3: Cross multiply
    30,883.23x = 46,324.51 × 7,509.69
  4. Step 4: Simplify right side
    30,883.23x = 347,882,690.73
  5. Step 5: Solve for x
    x = 347,882,690.73/30,883.23
  6. Step 6: Final answer
    x = 11,264.45

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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.