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Finding the Fourth Proportional to 35,524.88, 53,243.60 and 12,124

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Solution

The fourth proportional to 35,524.88, 53,243.60 and 12,124 is: 18,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,524.88 : 53,243.60 = 12,124 : x
  2. Step 2: Convert to fraction form
    35,524.88/53,243.60 = 12,124/x
  3. Step 3: Cross multiply
    35,524.88x = 53,243.60 × 12,124
  4. Step 4: Simplify right side
    35,524.88x = 645,525,406.40
  5. Step 5: Solve for x
    x = 645,525,406.40/35,524.88
  6. Step 6: Final answer
    x = 18,171.08

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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.