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Finding the Fourth Proportional to 32,407.60, 48,611.40 and 13,975.60

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Solution

The fourth proportional to 32,407.60, 48,611.40 and 13,975.60 is: 20,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,407.60 : 48,611.40 = 13,975.60 : x
  2. Step 2: Convert to fraction form
    32,407.60/48,611.40 = 13,975.60/x
  3. Step 3: Cross multiply
    32,407.60x = 48,611.40 × 13,975.60
  4. Step 4: Simplify right side
    32,407.60x = 679,373,481.84
  5. Step 5: Solve for x
    x = 679,373,481.84/32,407.60
  6. Step 6: Final answer
    x = 20,963.40

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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.