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Finding the Fourth Proportional to 34,833.30, 48,083.70 and 23,509.50

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Solution

The fourth proportional to 34,833.30, 48,083.70 and 23,509.50 is: 32,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,833.30 : 48,083.70 = 23,509.50 : x
  2. Step 2: Convert to fraction form
    34,833.30/48,083.70 = 23,509.50/x
  3. Step 3: Cross multiply
    34,833.30x = 48,083.70 × 23,509.50
  4. Step 4: Simplify right side
    34,833.30x = 1,130,423,745.15
  5. Step 5: Solve for x
    x = 1,130,423,745.15/34,833.30
  6. Step 6: Final answer
    x = 32,452.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.