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Finding the Fourth Proportional to 30,435.64, 45,652.68 and 13,783.60

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Solution

The fourth proportional to 30,435.64, 45,652.68 and 13,783.60 is: 20,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.64 : 45,652.68 = 13,783.60 : x
  2. Step 2: Convert to fraction form
    30,435.64/45,652.68 = 13,783.60/x
  3. Step 3: Cross multiply
    30,435.64x = 45,652.68 × 13,783.60
  4. Step 4: Simplify right side
    30,435.64x = 629,258,280.05
  5. Step 5: Solve for x
    x = 629,258,280.05/30,435.64
  6. Step 6: Final answer
    x = 20,675.05

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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.