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Finding the Fourth Proportional to 32,951, 49,421.26 and 10,764.20

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Solution

The fourth proportional to 32,951, 49,421.26 and 10,764.20 is: 16,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951 : 49,421.26 = 10,764.20 : x
  2. Step 2: Convert to fraction form
    32,951/49,421.26 = 10,764.20/x
  3. Step 3: Cross multiply
    32,951x = 49,421.26 × 10,764.20
  4. Step 4: Simplify right side
    32,951x = 531,980,326.89
  5. Step 5: Solve for x
    x = 531,980,326.89/32,951
  6. Step 6: Final answer
    x = 16,144.59

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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.