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Finding the Fourth Proportional to 30,044.70, 45,074.43 and 10,323.54

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Solution

The fourth proportional to 30,044.70, 45,074.43 and 10,323.54 is: 15,487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,044.70 : 45,074.43 = 10,323.54 : x
  2. Step 2: Convert to fraction form
    30,044.70/45,074.43 = 10,323.54/x
  3. Step 3: Cross multiply
    30,044.70x = 45,074.43 × 10,323.54
  4. Step 4: Simplify right side
    30,044.70x = 465,327,681.08
  5. Step 5: Solve for x
    x = 465,327,681.08/30,044.70
  6. Step 6: Final answer
    x = 15,487.85

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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.