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Finding the Fourth Proportional to 30,500.08, 45,765.78 and 23,102.08

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Solution

The fourth proportional to 30,500.08, 45,765.78 and 23,102.08 is: 34,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,500.08 : 45,765.78 = 23,102.08 : x
  2. Step 2: Convert to fraction form
    30,500.08/45,765.78 = 23,102.08/x
  3. Step 3: Cross multiply
    30,500.08x = 45,765.78 × 23,102.08
  4. Step 4: Simplify right side
    30,500.08x = 1,057,284,710.82
  5. Step 5: Solve for x
    x = 1,057,284,710.82/30,500.08
  6. Step 6: Final answer
    x = 34,664.98

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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.