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Finding the Fourth Proportional to 30,431.80, 45,639.60 and 9,371.80

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Solution

The fourth proportional to 30,431.80, 45,639.60 and 9,371.80 is: 14,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.80 : 45,639.60 = 9,371.80 : x
  2. Step 2: Convert to fraction form
    30,431.80/45,639.60 = 9,371.80/x
  3. Step 3: Cross multiply
    30,431.80x = 45,639.60 × 9,371.80
  4. Step 4: Simplify right side
    30,431.80x = 427,725,203.28
  5. Step 5: Solve for x
    x = 427,725,203.28/30,431.80
  6. Step 6: Final answer
    x = 14,055.21

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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.