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Finding the Fourth Proportional to 30,127.91, 45,212.58 and 10,406.50

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Solution

The fourth proportional to 30,127.91, 45,212.58 and 10,406.50 is: 15,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,127.91 : 45,212.58 = 10,406.50 : x
  2. Step 2: Convert to fraction form
    30,127.91/45,212.58 = 10,406.50/x
  3. Step 3: Cross multiply
    30,127.91x = 45,212.58 × 10,406.50
  4. Step 4: Simplify right side
    30,127.91x = 470,504,600.74
  5. Step 5: Solve for x
    x = 470,504,600.74/30,127.91
  6. Step 6: Final answer
    x = 15,616.90

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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.