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Finding the Fourth Proportional to 51,669, 77,504.22 and 14,733

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Solution

The fourth proportional to 51,669, 77,504.22 and 14,733 is: 22,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,669 : 77,504.22 = 14,733 : x
  2. Step 2: Convert to fraction form
    51,669/77,504.22 = 14,733/x
  3. Step 3: Cross multiply
    51,669x = 77,504.22 × 14,733
  4. Step 4: Simplify right side
    51,669x = 1,141,869,673.26
  5. Step 5: Solve for x
    x = 1,141,869,673.26/51,669
  6. Step 6: Final answer
    x = 22,099.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.