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Finding the Fourth Proportional to 47,095.72, 64,965.06 and 29,401

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Solution

The fourth proportional to 47,095.72, 64,965.06 and 29,401 is: 40,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,095.72 : 64,965.06 = 29,401 : x
  2. Step 2: Convert to fraction form
    47,095.72/64,965.06 = 29,401/x
  3. Step 3: Cross multiply
    47,095.72x = 64,965.06 × 29,401
  4. Step 4: Simplify right side
    47,095.72x = 1,910,037,729.06
  5. Step 5: Solve for x
    x = 1,910,037,729.06/47,095.72
  6. Step 6: Final answer
    x = 40,556.50

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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.