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Finding the Fourth Proportional to 74,577.72, 111,886.08 and 27,831

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Solution

The fourth proportional to 74,577.72, 111,886.08 and 27,831 is: 41,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,577.72 : 111,886.08 = 27,831 : x
  2. Step 2: Convert to fraction form
    74,577.72/111,886.08 = 27,831/x
  3. Step 3: Cross multiply
    74,577.72x = 111,886.08 × 27,831
  4. Step 4: Simplify right side
    74,577.72x = 3,113,901,492.48
  5. Step 5: Solve for x
    x = 3,113,901,492.48/74,577.72
  6. Step 6: Final answer
    x = 41,753.78

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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.