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Finding the Fourth Proportional to 29,982.30, 44,973.48 and 10,261.02

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Solution

The fourth proportional to 29,982.30, 44,973.48 and 10,261.02 is: 15,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.30 : 44,973.48 = 10,261.02 : x
  2. Step 2: Convert to fraction form
    29,982.30/44,973.48 = 10,261.02/x
  3. Step 3: Cross multiply
    29,982.30x = 44,973.48 × 10,261.02
  4. Step 4: Simplify right side
    29,982.30x = 461,473,777.75
  5. Step 5: Solve for x
    x = 461,473,777.75/29,982.30
  6. Step 6: Final answer
    x = 15,391.54

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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.