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Finding the Fourth Proportional to 34,122.30, 51,183.45 and 30,666.30

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Solution

The fourth proportional to 34,122.30, 51,183.45 and 30,666.30 is: 45,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,122.30 : 51,183.45 = 30,666.30 : x
  2. Step 2: Convert to fraction form
    34,122.30/51,183.45 = 30,666.30/x
  3. Step 3: Cross multiply
    34,122.30x = 51,183.45 × 30,666.30
  4. Step 4: Simplify right side
    34,122.30x = 1,569,607,032.74
  5. Step 5: Solve for x
    x = 1,569,607,032.74/34,122.30
  6. Step 6: Final answer
    x = 45,999.45

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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.