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Finding the Fourth Proportional to 32,915.10, 49,409.10 and 20,449.20

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Solution

The fourth proportional to 32,915.10, 49,409.10 and 20,449.20 is: 30,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,915.10 : 49,409.10 = 20,449.20 : x
  2. Step 2: Convert to fraction form
    32,915.10/49,409.10 = 20,449.20/x
  3. Step 3: Cross multiply
    32,915.10x = 49,409.10 × 20,449.20
  4. Step 4: Simplify right side
    32,915.10x = 1,010,376,567.72
  5. Step 5: Solve for x
    x = 1,010,376,567.72/32,915.10
  6. Step 6: Final answer
    x = 30,696.45

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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.