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Finding the Fourth Proportional to 30,277.40, 45,415.56 and 13,625.64

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Solution

The fourth proportional to 30,277.40, 45,415.56 and 13,625.64 is: 20,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.40 : 45,415.56 = 13,625.64 : x
  2. Step 2: Convert to fraction form
    30,277.40/45,415.56 = 13,625.64/x
  3. Step 3: Cross multiply
    30,277.40x = 45,415.56 × 13,625.64
  4. Step 4: Simplify right side
    30,277.40x = 618,816,070.96
  5. Step 5: Solve for x
    x = 618,816,070.96/30,277.40
  6. Step 6: Final answer
    x = 20,438.22

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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.