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Finding the Fourth Proportional to 34,817.25, 48,024.72 and 23,332.50

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Solution

The fourth proportional to 34,817.25, 48,024.72 and 23,332.50 is: 32,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,817.25 : 48,024.72 = 23,332.50 : x
  2. Step 2: Convert to fraction form
    34,817.25/48,024.72 = 23,332.50/x
  3. Step 3: Cross multiply
    34,817.25x = 48,024.72 × 23,332.50
  4. Step 4: Simplify right side
    34,817.25x = 1,120,536,779.40
  5. Step 5: Solve for x
    x = 1,120,536,779.40/34,817.25
  6. Step 6: Final answer
    x = 32,183.38

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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.