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Finding the Fourth Proportional to 32,596.38, 48,842.49 and 20,899.90

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Solution

The fourth proportional to 32,596.38, 48,842.49 and 20,899.90 is: 31,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.38 : 48,842.49 = 20,899.90 : x
  2. Step 2: Convert to fraction form
    32,596.38/48,842.49 = 20,899.90/x
  3. Step 3: Cross multiply
    32,596.38x = 48,842.49 × 20,899.90
  4. Step 4: Simplify right side
    32,596.38x = 1,020,803,156.75
  5. Step 5: Solve for x
    x = 1,020,803,156.75/32,596.38
  6. Step 6: Final answer
    x = 31,316.46

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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.