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Finding the Fourth Proportional to 34,205.60, 51,340.80 and 29,280.80

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Solution

The fourth proportional to 34,205.60, 51,340.80 and 29,280.80 is: 43,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.60 : 51,340.80 = 29,280.80 : x
  2. Step 2: Convert to fraction form
    34,205.60/51,340.80 = 29,280.80/x
  3. Step 3: Cross multiply
    34,205.60x = 51,340.80 × 29,280.80
  4. Step 4: Simplify right side
    34,205.60x = 1,503,299,696.64
  5. Step 5: Solve for x
    x = 1,503,299,696.64/34,205.60
  6. Step 6: Final answer
    x = 43,948.94

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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.