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Finding the Fourth Proportional to 82,945.76, 114,477 and 47,128.64

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Solution

The fourth proportional to 82,945.76, 114,477 and 47,128.64 is: 65,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,945.76 : 114,477 = 47,128.64 : x
  2. Step 2: Convert to fraction form
    82,945.76/114,477 = 47,128.64/x
  3. Step 3: Cross multiply
    82,945.76x = 114,477 × 47,128.64
  4. Step 4: Simplify right side
    82,945.76x = 5,395,145,321.28
  5. Step 5: Solve for x
    x = 5,395,145,321.28/82,945.76
  6. Step 6: Final answer
    x = 65,044.26

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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.