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Finding the Fourth Proportional to 77,424.60, 116,136.90 and 22,013.40

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Solution

The fourth proportional to 77,424.60, 116,136.90 and 22,013.40 is: 33,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,424.60 : 116,136.90 = 22,013.40 : x
  2. Step 2: Convert to fraction form
    77,424.60/116,136.90 = 22,013.40/x
  3. Step 3: Cross multiply
    77,424.60x = 116,136.90 × 22,013.40
  4. Step 4: Simplify right side
    77,424.60x = 2,556,568,034.46
  5. Step 5: Solve for x
    x = 2,556,568,034.46/77,424.60
  6. Step 6: Final answer
    x = 33,020.10

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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.