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Finding the Fourth Proportional to 35,414.88, 53,111.76 and 12,036

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Solution

The fourth proportional to 35,414.88, 53,111.76 and 12,036 is: 18,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,414.88 : 53,111.76 = 12,036 : x
  2. Step 2: Convert to fraction form
    35,414.88/53,111.76 = 12,036/x
  3. Step 3: Cross multiply
    35,414.88x = 53,111.76 × 12,036
  4. Step 4: Simplify right side
    35,414.88x = 639,253,143.36
  5. Step 5: Solve for x
    x = 639,253,143.36/35,414.88
  6. Step 6: Final answer
    x = 18,050.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.