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Finding the Fourth Proportional to 34,322.40, 51,451.20 and 30,823.20

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Solution

The fourth proportional to 34,322.40, 51,451.20 and 30,823.20 is: 46,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,322.40 : 51,451.20 = 30,823.20 : x
  2. Step 2: Convert to fraction form
    34,322.40/51,451.20 = 30,823.20/x
  3. Step 3: Cross multiply
    34,322.40x = 51,451.20 × 30,823.20
  4. Step 4: Simplify right side
    34,322.40x = 1,585,890,627.84
  5. Step 5: Solve for x
    x = 1,585,890,627.84/34,322.40
  6. Step 6: Final answer
    x = 46,205.70

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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.