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Finding the Fourth Proportional to 32,971, 49,441.72 and 19,650.28

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Solution

The fourth proportional to 32,971, 49,441.72 and 19,650.28 is: 29,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971 : 49,441.72 = 19,650.28 : x
  2. Step 2: Convert to fraction form
    32,971/49,441.72 = 19,650.28/x
  3. Step 3: Cross multiply
    32,971x = 49,441.72 × 19,650.28
  4. Step 4: Simplify right side
    32,971x = 971,543,641.68
  5. Step 5: Solve for x
    x = 971,543,641.68/32,971
  6. Step 6: Final answer
    x = 29,466.61

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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.