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Finding the Fourth Proportional to 29,114, 43,677.60 and 10,646

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Solution

The fourth proportional to 29,114, 43,677.60 and 10,646 is: 15,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114 : 43,677.60 = 10,646 : x
  2. Step 2: Convert to fraction form
    29,114/43,677.60 = 10,646/x
  3. Step 3: Cross multiply
    29,114x = 43,677.60 × 10,646
  4. Step 4: Simplify right side
    29,114x = 464,991,729.60
  5. Step 5: Solve for x
    x = 464,991,729.60/29,114
  6. Step 6: Final answer
    x = 15,971.41

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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.