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Finding the Fourth Proportional to 47,094.72, 64,963.68 and 29,400

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Solution

The fourth proportional to 47,094.72, 64,963.68 and 29,400 is: 40,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,094.72 : 64,963.68 = 29,400 : x
  2. Step 2: Convert to fraction form
    47,094.72/64,963.68 = 29,400/x
  3. Step 3: Cross multiply
    47,094.72x = 64,963.68 × 29,400
  4. Step 4: Simplify right side
    47,094.72x = 1,909,932,192
  5. Step 5: Solve for x
    x = 1,909,932,192/47,094.72
  6. Step 6: Final answer
    x = 40,555.12

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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.