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Finding the Fourth Proportional to 32,894.71, 49,314.39 and 13,162.50

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Solution

The fourth proportional to 32,894.71, 49,314.39 and 13,162.50 is: 19,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.71 : 49,314.39 = 13,162.50 : x
  2. Step 2: Convert to fraction form
    32,894.71/49,314.39 = 13,162.50/x
  3. Step 3: Cross multiply
    32,894.71x = 49,314.39 × 13,162.50
  4. Step 4: Simplify right side
    32,894.71x = 649,100,609.02
  5. Step 5: Solve for x
    x = 649,100,609.02/32,894.71
  6. Step 6: Final answer
    x = 19,732.68

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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.