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Finding the Fourth Proportional to 27,294, 40,930.02 and 10,651.62

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Solution

The fourth proportional to 27,294, 40,930.02 and 10,651.62 is: 15,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294 : 40,930.02 = 10,651.62 : x
  2. Step 2: Convert to fraction form
    27,294/40,930.02 = 10,651.62/x
  3. Step 3: Cross multiply
    27,294x = 40,930.02 × 10,651.62
  4. Step 4: Simplify right side
    27,294x = 435,971,019.63
  5. Step 5: Solve for x
    x = 435,971,019.63/27,294
  6. Step 6: Final answer
    x = 15,973.15

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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.