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Finding the Fourth Proportional to 30,584.19, 45,823.95 and 23,918.13

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Solution

The fourth proportional to 30,584.19, 45,823.95 and 23,918.13 is: 35,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.19 : 45,823.95 = 23,918.13 : x
  2. Step 2: Convert to fraction form
    30,584.19/45,823.95 = 23,918.13/x
  3. Step 3: Cross multiply
    30,584.19x = 45,823.95 × 23,918.13
  4. Step 4: Simplify right side
    30,584.19x = 1,096,023,193.21
  5. Step 5: Solve for x
    x = 1,096,023,193.21/30,584.19
  6. Step 6: Final answer
    x = 35,836.27

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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.