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Finding the Fourth Proportional to 30,577.44, 45,852.52 and 10,588.80

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Solution

The fourth proportional to 30,577.44, 45,852.52 and 10,588.80 is: 15,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.44 : 45,852.52 = 10,588.80 : x
  2. Step 2: Convert to fraction form
    30,577.44/45,852.52 = 10,588.80/x
  3. Step 3: Cross multiply
    30,577.44x = 45,852.52 × 10,588.80
  4. Step 4: Simplify right side
    30,577.44x = 485,523,163.78
  5. Step 5: Solve for x
    x = 485,523,163.78/30,577.44
  6. Step 6: Final answer
    x = 15,878.48

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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.