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Finding the Fourth Proportional to 34,100.80, 51,084.24 and 30,385.60

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Solution

The fourth proportional to 34,100.80, 51,084.24 and 30,385.60 is: 45,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.80 : 51,084.24 = 30,385.60 : x
  2. Step 2: Convert to fraction form
    34,100.80/51,084.24 = 30,385.60/x
  3. Step 3: Cross multiply
    34,100.80x = 51,084.24 × 30,385.60
  4. Step 4: Simplify right side
    34,100.80x = 1,552,225,282.94
  5. Step 5: Solve for x
    x = 1,552,225,282.94/34,100.80
  6. Step 6: Final answer
    x = 45,518.74

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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.