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Finding the Fourth Proportional to 32,094.71, 48,185.72 and 18,064.64

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Solution

The fourth proportional to 32,094.71, 48,185.72 and 18,064.64 is: 27,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.71 : 48,185.72 = 18,064.64 : x
  2. Step 2: Convert to fraction form
    32,094.71/48,185.72 = 18,064.64/x
  3. Step 3: Cross multiply
    32,094.71x = 48,185.72 × 18,064.64
  4. Step 4: Simplify right side
    32,094.71x = 870,457,594.62
  5. Step 5: Solve for x
    x = 870,457,594.62/32,094.71
  6. Step 6: Final answer
    x = 27,121.53

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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.