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Finding the Fourth Proportional to 32,809.68, 49,172.40 and 28,575.60

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Solution

The fourth proportional to 32,809.68, 49,172.40 and 28,575.60 is: 42,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.68 : 49,172.40 = 28,575.60 : x
  2. Step 2: Convert to fraction form
    32,809.68/49,172.40 = 28,575.60/x
  3. Step 3: Cross multiply
    32,809.68x = 49,172.40 × 28,575.60
  4. Step 4: Simplify right side
    32,809.68x = 1,405,130,833.44
  5. Step 5: Solve for x
    x = 1,405,130,833.44/32,809.68
  6. Step 6: Final answer
    x = 42,826.72

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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.