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Finding the Fourth Proportional to 35,757.47, 53,640.45 and 9,462.44

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Solution

The fourth proportional to 35,757.47, 53,640.45 and 9,462.44 is: 14,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,757.47 : 53,640.45 = 9,462.44 : x
  2. Step 2: Convert to fraction form
    35,757.47/53,640.45 = 9,462.44/x
  3. Step 3: Cross multiply
    35,757.47x = 53,640.45 × 9,462.44
  4. Step 4: Simplify right side
    35,757.47x = 507,569,271.50
  5. Step 5: Solve for x
    x = 507,569,271.50/35,757.47
  6. Step 6: Final answer
    x = 14,194.78

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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.