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Finding the Fourth Proportional to 82,921.76, 114,435.11 and 47,117.82

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Solution

The fourth proportional to 82,921.76, 114,435.11 and 47,117.82 is: 65,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,921.76 : 114,435.11 = 47,117.82 : x
  2. Step 2: Convert to fraction form
    82,921.76/114,435.11 = 47,117.82/x
  3. Step 3: Cross multiply
    82,921.76x = 114,435.11 × 47,117.82
  4. Step 4: Simplify right side
    82,921.76x = 5,391,932,679.07
  5. Step 5: Solve for x
    x = 5,391,932,679.07/82,921.76
  6. Step 6: Final answer
    x = 65,024.34

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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.