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Finding the Fourth Proportional to 38,596.64, 57,583.06 and 32,984.96

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Solution

The fourth proportional to 38,596.64, 57,583.06 and 32,984.96 is: 49,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596.64 : 57,583.06 = 32,984.96 : x
  2. Step 2: Convert to fraction form
    38,596.64/57,583.06 = 32,984.96/x
  3. Step 3: Cross multiply
    38,596.64x = 57,583.06 × 32,984.96
  4. Step 4: Simplify right side
    38,596.64x = 1,899,374,930.78
  5. Step 5: Solve for x
    x = 1,899,374,930.78/38,596.64
  6. Step 6: Final answer
    x = 49,210.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.