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Finding the Fourth Proportional to 41,140.40, 61,696.20 and 21,412.40

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Solution

The fourth proportional to 41,140.40, 61,696.20 and 21,412.40 is: 32,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,140.40 : 61,696.20 = 21,412.40 : x
  2. Step 2: Convert to fraction form
    41,140.40/61,696.20 = 21,412.40/x
  3. Step 3: Cross multiply
    41,140.40x = 61,696.20 × 21,412.40
  4. Step 4: Simplify right side
    41,140.40x = 1,321,063,712.88
  5. Step 5: Solve for x
    x = 1,321,063,712.88/41,140.40
  6. Step 6: Final answer
    x = 32,111.11

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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.