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Finding the Fourth Proportional to 30,353.02, 45,529.37 and 8,164.59

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Solution

The fourth proportional to 30,353.02, 45,529.37 and 8,164.59 is: 12,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,353.02 : 45,529.37 = 8,164.59 : x
  2. Step 2: Convert to fraction form
    30,353.02/45,529.37 = 8,164.59/x
  3. Step 3: Cross multiply
    30,353.02x = 45,529.37 × 8,164.59
  4. Step 4: Simplify right side
    30,353.02x = 371,728,639.01
  5. Step 5: Solve for x
    x = 371,728,639.01/30,353.02
  6. Step 6: Final answer
    x = 12,246.84

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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.