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Finding the Fourth Proportional to 30,595.54, 45,884.46 and 8,409.64

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Solution

The fourth proportional to 30,595.54, 45,884.46 and 8,409.64 is: 12,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.54 : 45,884.46 = 8,409.64 : x
  2. Step 2: Convert to fraction form
    30,595.54/45,884.46 = 8,409.64/x
  3. Step 3: Cross multiply
    30,595.54x = 45,884.46 × 8,409.64
  4. Step 4: Simplify right side
    30,595.54x = 385,871,790.19
  5. Step 5: Solve for x
    x = 385,871,790.19/30,595.54
  6. Step 6: Final answer
    x = 12,612.03

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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.