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Finding the Fourth Proportional to 30,772.80, 45,949.44 and 24,461.76

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Solution

The fourth proportional to 30,772.80, 45,949.44 and 24,461.76 is: 36,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.80 : 45,949.44 = 24,461.76 : x
  2. Step 2: Convert to fraction form
    30,772.80/45,949.44 = 24,461.76/x
  3. Step 3: Cross multiply
    30,772.80x = 45,949.44 × 24,461.76
  4. Step 4: Simplify right side
    30,772.80x = 1,124,004,173.41
  5. Step 5: Solve for x
    x = 1,124,004,173.41/30,772.80
  6. Step 6: Final answer
    x = 36,525.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.