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Finding the Fourth Proportional to 32,992.50, 49,406.70 and 23,085.36

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Solution

The fourth proportional to 32,992.50, 49,406.70 and 23,085.36 is: 34,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.50 : 49,406.70 = 23,085.36 : x
  2. Step 2: Convert to fraction form
    32,992.50/49,406.70 = 23,085.36/x
  3. Step 3: Cross multiply
    32,992.50x = 49,406.70 × 23,085.36
  4. Step 4: Simplify right side
    32,992.50x = 1,140,571,455.91
  5. Step 5: Solve for x
    x = 1,140,571,455.91/32,992.50
  6. Step 6: Final answer
    x = 34,570.63

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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.