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Finding the Fourth Proportional to 29,506.78, 40,692 and 21,971.62

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Solution

The fourth proportional to 29,506.78, 40,692 and 21,971.62 is: 30,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,506.78 : 40,692 = 21,971.62 : x
  2. Step 2: Convert to fraction form
    29,506.78/40,692 = 21,971.62/x
  3. Step 3: Cross multiply
    29,506.78x = 40,692 × 21,971.62
  4. Step 4: Simplify right side
    29,506.78x = 894,069,161.04
  5. Step 5: Solve for x
    x = 894,069,161.04/29,506.78
  6. Step 6: Final answer
    x = 30,300.47

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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.