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Finding the Fourth Proportional to 30,571.20, 45,877.68 and 13,045.68

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Solution

The fourth proportional to 30,571.20, 45,877.68 and 13,045.68 is: 19,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.20 : 45,877.68 = 13,045.68 : x
  2. Step 2: Convert to fraction form
    30,571.20/45,877.68 = 13,045.68/x
  3. Step 3: Cross multiply
    30,571.20x = 45,877.68 × 13,045.68
  4. Step 4: Simplify right side
    30,571.20x = 598,505,532.42
  5. Step 5: Solve for x
    x = 598,505,532.42/30,571.20
  6. Step 6: Final answer
    x = 19,577.43

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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.