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Finding the Fourth Proportional to 30,677.28, 46,015.92 and 9,903.84

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Solution

The fourth proportional to 30,677.28, 46,015.92 and 9,903.84 is: 14,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,677.28 : 46,015.92 = 9,903.84 : x
  2. Step 2: Convert to fraction form
    30,677.28/46,015.92 = 9,903.84/x
  3. Step 3: Cross multiply
    30,677.28x = 46,015.92 × 9,903.84
  4. Step 4: Simplify right side
    30,677.28x = 455,734,309.13
  5. Step 5: Solve for x
    x = 455,734,309.13/30,677.28
  6. Step 6: Final answer
    x = 14,855.76

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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.