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Finding the Fourth Proportional to 29,871.36, 44,811.90 and 9,090

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Solution

The fourth proportional to 29,871.36, 44,811.90 and 9,090 is: 13,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871.36 : 44,811.90 = 9,090 : x
  2. Step 2: Convert to fraction form
    29,871.36/44,811.90 = 9,090/x
  3. Step 3: Cross multiply
    29,871.36x = 44,811.90 × 9,090
  4. Step 4: Simplify right side
    29,871.36x = 407,340,171
  5. Step 5: Solve for x
    x = 407,340,171/29,871.36
  6. Step 6: Final answer
    x = 13,636.48

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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.