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Finding the Fourth Proportional to 30,257.60, 45,355.20 and 13,625.60

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Solution

The fourth proportional to 30,257.60, 45,355.20 and 13,625.60 is: 20,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.60 : 45,355.20 = 13,625.60 : x
  2. Step 2: Convert to fraction form
    30,257.60/45,355.20 = 13,625.60/x
  3. Step 3: Cross multiply
    30,257.60x = 45,355.20 × 13,625.60
  4. Step 4: Simplify right side
    30,257.60x = 617,991,813.12
  5. Step 5: Solve for x
    x = 617,991,813.12/30,257.60
  6. Step 6: Final answer
    x = 20,424.35

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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.