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Finding the Fourth Proportional to 30,775.34, 46,102.76 and 27,428.09

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Solution

The fourth proportional to 30,775.34, 46,102.76 and 27,428.09 is: 41,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.34 : 46,102.76 = 27,428.09 : x
  2. Step 2: Convert to fraction form
    30,775.34/46,102.76 = 27,428.09/x
  3. Step 3: Cross multiply
    30,775.34x = 46,102.76 × 27,428.09
  4. Step 4: Simplify right side
    30,775.34x = 1,264,510,736.15
  5. Step 5: Solve for x
    x = 1,264,510,736.15/30,775.34
  6. Step 6: Final answer
    x = 41,088.44

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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.