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Finding the Fourth Proportional to 37,833, 52,211.16 and 21,066

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Solution

The fourth proportional to 37,833, 52,211.16 and 21,066 is: 29,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,833 : 52,211.16 = 21,066 : x
  2. Step 2: Convert to fraction form
    37,833/52,211.16 = 21,066/x
  3. Step 3: Cross multiply
    37,833x = 52,211.16 × 21,066
  4. Step 4: Simplify right side
    37,833x = 1,099,880,296.56
  5. Step 5: Solve for x
    x = 1,099,880,296.56/37,833
  6. Step 6: Final answer
    x = 29,071.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.