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Finding the Fourth Proportional to 32,938.25, 49,409.80 and 11,890.80

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Solution

The fourth proportional to 32,938.25, 49,409.80 and 11,890.80 is: 17,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,938.25 : 49,409.80 = 11,890.80 : x
  2. Step 2: Convert to fraction form
    32,938.25/49,409.80 = 11,890.80/x
  3. Step 3: Cross multiply
    32,938.25x = 49,409.80 × 11,890.80
  4. Step 4: Simplify right side
    32,938.25x = 587,522,020.11
  5. Step 5: Solve for x
    x = 587,522,020.11/32,938.25
  6. Step 6: Final answer
    x = 17,837.08

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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.