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Finding the Fourth Proportional to 35,960.80, 53,941.12 and 9,665.54

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Solution

The fourth proportional to 35,960.80, 53,941.12 and 9,665.54 is: 14,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,960.80 : 53,941.12 = 9,665.54 : x
  2. Step 2: Convert to fraction form
    35,960.80/53,941.12 = 9,665.54/x
  3. Step 3: Cross multiply
    35,960.80x = 53,941.12 × 9,665.54
  4. Step 4: Simplify right side
    35,960.80x = 521,369,961.41
  5. Step 5: Solve for x
    x = 521,369,961.41/35,960.80
  6. Step 6: Final answer
    x = 14,498.29

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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.