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Finding the Fourth Proportional to 30,292.27, 45,435.15 and 10,571.20

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Solution

The fourth proportional to 30,292.27, 45,435.15 and 10,571.20 is: 15,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.27 : 45,435.15 = 10,571.20 : x
  2. Step 2: Convert to fraction form
    30,292.27/45,435.15 = 10,571.20/x
  3. Step 3: Cross multiply
    30,292.27x = 45,435.15 × 10,571.20
  4. Step 4: Simplify right side
    30,292.27x = 480,303,830.50
  5. Step 5: Solve for x
    x = 480,303,830.50/30,292.27
  6. Step 6: Final answer
    x = 15,855.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.