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Finding the Fourth Proportional to 35,072.34, 48,367.77 and 27,416.63

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Solution

The fourth proportional to 35,072.34, 48,367.77 and 27,416.63 is: 37,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,072.34 : 48,367.77 = 27,416.63 : x
  2. Step 2: Convert to fraction form
    35,072.34/48,367.77 = 27,416.63/x
  3. Step 3: Cross multiply
    35,072.34x = 48,367.77 × 27,416.63
  4. Step 4: Simplify right side
    35,072.34x = 1,326,081,012.18
  5. Step 5: Solve for x
    x = 1,326,081,012.18/35,072.34
  6. Step 6: Final answer
    x = 37,809.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.