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Finding the Fourth Proportional to 35,984.18, 53,982.42 and 12,290.42

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Solution

The fourth proportional to 35,984.18, 53,982.42 and 12,290.42 is: 18,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.18 : 53,982.42 = 12,290.42 : x
  2. Step 2: Convert to fraction form
    35,984.18/53,982.42 = 12,290.42/x
  3. Step 3: Cross multiply
    35,984.18x = 53,982.42 × 12,290.42
  4. Step 4: Simplify right side
    35,984.18x = 663,466,749.37
  5. Step 5: Solve for x
    x = 663,466,749.37/35,984.18
  6. Step 6: Final answer
    x = 18,437.73

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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.