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Finding the Fourth Proportional to 32,735.96, 49,084.22 and 14,720.88

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Solution

The fourth proportional to 32,735.96, 49,084.22 and 14,720.88 is: 22,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,735.96 : 49,084.22 = 14,720.88 : x
  2. Step 2: Convert to fraction form
    32,735.96/49,084.22 = 14,720.88/x
  3. Step 3: Cross multiply
    32,735.96x = 49,084.22 × 14,720.88
  4. Step 4: Simplify right side
    32,735.96x = 722,562,912.51
  5. Step 5: Solve for x
    x = 722,562,912.51/32,735.96
  6. Step 6: Final answer
    x = 22,072.45

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1.5x scale

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.