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Finding the Fourth Proportional to 30,232.80, 45,349.65 and 11,513.87

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Solution

The fourth proportional to 30,232.80, 45,349.65 and 11,513.87 is: 17,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.80 : 45,349.65 = 11,513.87 : x
  2. Step 2: Convert to fraction form
    30,232.80/45,349.65 = 11,513.87/x
  3. Step 3: Cross multiply
    30,232.80x = 45,349.65 × 11,513.87
  4. Step 4: Simplify right side
    30,232.80x = 522,149,861.27
  5. Step 5: Solve for x
    x = 522,149,861.27/30,232.80
  6. Step 6: Final answer
    x = 17,270.98

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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.