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Finding the Fourth Proportional to 32,010.50, 48,015.76 and 8,636.94

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Solution

The fourth proportional to 32,010.50, 48,015.76 and 8,636.94 is: 12,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,010.50 : 48,015.76 = 8,636.94 : x
  2. Step 2: Convert to fraction form
    32,010.50/48,015.76 = 8,636.94/x
  3. Step 3: Cross multiply
    32,010.50x = 48,015.76 × 8,636.94
  4. Step 4: Simplify right side
    32,010.50x = 414,709,269.93
  5. Step 5: Solve for x
    x = 414,709,269.93/32,010.50
  6. Step 6: Final answer
    x = 12,955.41

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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.