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Finding the Fourth Proportional to 30,915.40, 46,346.10 and 21,022.60

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Solution

The fourth proportional to 30,915.40, 46,346.10 and 21,022.60 is: 31,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915.40 : 46,346.10 = 21,022.60 : x
  2. Step 2: Convert to fraction form
    30,915.40/46,346.10 = 21,022.60/x
  3. Step 3: Cross multiply
    30,915.40x = 46,346.10 × 21,022.60
  4. Step 4: Simplify right side
    30,915.40x = 974,315,521.86
  5. Step 5: Solve for x
    x = 974,315,521.86/30,915.40
  6. Step 6: Final answer
    x = 31,515.54

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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.