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Finding the Fourth Proportional to 38,272.08, 57,408.04 and 10,570

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Solution

The fourth proportional to 38,272.08, 57,408.04 and 10,570 is: 15,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.08 : 57,408.04 = 10,570 : x
  2. Step 2: Convert to fraction form
    38,272.08/57,408.04 = 10,570/x
  3. Step 3: Cross multiply
    38,272.08x = 57,408.04 × 10,570
  4. Step 4: Simplify right side
    38,272.08x = 606,802,982.80
  5. Step 5: Solve for x
    x = 606,802,982.80/38,272.08
  6. Step 6: Final answer
    x = 15,854.98

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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.