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Finding the Fourth Proportional to 34,233.90, 51,235.65 and 23,865.90

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Solution

The fourth proportional to 34,233.90, 51,235.65 and 23,865.90 is: 35,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,233.90 : 51,235.65 = 23,865.90 : x
  2. Step 2: Convert to fraction form
    34,233.90/51,235.65 = 23,865.90/x
  3. Step 3: Cross multiply
    34,233.90x = 51,235.65 × 23,865.90
  4. Step 4: Simplify right side
    34,233.90x = 1,222,784,899.34
  5. Step 5: Solve for x
    x = 1,222,784,899.34/34,233.90
  6. Step 6: Final answer
    x = 35,718.54

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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.