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Finding the Fourth Proportional to 32,482.37, 48,684.31 and 15,817.43

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Solution

The fourth proportional to 32,482.37, 48,684.31 and 15,817.43 is: 23,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482.37 : 48,684.31 = 15,817.43 : x
  2. Step 2: Convert to fraction form
    32,482.37/48,684.31 = 15,817.43/x
  3. Step 3: Cross multiply
    32,482.37x = 48,684.31 × 15,817.43
  4. Step 4: Simplify right side
    32,482.37x = 770,060,543.81
  5. Step 5: Solve for x
    x = 770,060,543.81/32,482.37
  6. Step 6: Final answer
    x = 23,707.03

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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.