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Finding the Fourth Proportional to 47,096.72, 64,966.44 and 29,402

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Solution

The fourth proportional to 47,096.72, 64,966.44 and 29,402 is: 40,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,096.72 : 64,966.44 = 29,402 : x
  2. Step 2: Convert to fraction form
    47,096.72/64,966.44 = 29,402/x
  3. Step 3: Cross multiply
    47,096.72x = 64,966.44 × 29,402
  4. Step 4: Simplify right side
    47,096.72x = 1,910,143,268.88
  5. Step 5: Solve for x
    x = 1,910,143,268.88/47,096.72
  6. Step 6: Final answer
    x = 40,557.88

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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.