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Finding the Fourth Proportional to 30,644.50, 45,985.10 and 13,114.34

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Solution

The fourth proportional to 30,644.50, 45,985.10 and 13,114.34 is: 19,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644.50 : 45,985.10 = 13,114.34 : x
  2. Step 2: Convert to fraction form
    30,644.50/45,985.10 = 13,114.34/x
  3. Step 3: Cross multiply
    30,644.50x = 45,985.10 × 13,114.34
  4. Step 4: Simplify right side
    30,644.50x = 603,064,236.33
  5. Step 5: Solve for x
    x = 603,064,236.33/30,644.50
  6. Step 6: Final answer
    x = 19,679.37

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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.