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Finding the Fourth Proportional to 30,638.48, 45,958.92 and 13,999.46

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Solution

The fourth proportional to 30,638.48, 45,958.92 and 13,999.46 is: 20,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.48 : 45,958.92 = 13,999.46 : x
  2. Step 2: Convert to fraction form
    30,638.48/45,958.92 = 13,999.46/x
  3. Step 3: Cross multiply
    30,638.48x = 45,958.92 × 13,999.46
  4. Step 4: Simplify right side
    30,638.48x = 643,400,062.18
  5. Step 5: Solve for x
    x = 643,400,062.18/30,638.48
  6. Step 6: Final answer
    x = 20,999.74

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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.