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Finding the Fourth Proportional to 32,361.53, 48,533.60 and 13,641.71

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Solution

The fourth proportional to 32,361.53, 48,533.60 and 13,641.71 is: 20,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361.53 : 48,533.60 = 13,641.71 : x
  2. Step 2: Convert to fraction form
    32,361.53/48,533.60 = 13,641.71/x
  3. Step 3: Cross multiply
    32,361.53x = 48,533.60 × 13,641.71
  4. Step 4: Simplify right side
    32,361.53x = 662,080,985.58
  5. Step 5: Solve for x
    x = 662,080,985.58/32,361.53
  6. Step 6: Final answer
    x = 20,458.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.