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Finding the Fourth Proportional to 30,361.96, 45,543.40 and 13,710.38

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Solution

The fourth proportional to 30,361.96, 45,543.40 and 13,710.38 is: 20,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.96 : 45,543.40 = 13,710.38 : x
  2. Step 2: Convert to fraction form
    30,361.96/45,543.40 = 13,710.38/x
  3. Step 3: Cross multiply
    30,361.96x = 45,543.40 × 13,710.38
  4. Step 4: Simplify right side
    30,361.96x = 624,417,314.68
  5. Step 5: Solve for x
    x = 624,417,314.68/30,361.96
  6. Step 6: Final answer
    x = 20,565.78

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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.