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Finding the Fourth Proportional to 82,866.57, 114,351.93 and 47,051.82

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Solution

The fourth proportional to 82,866.57, 114,351.93 and 47,051.82 is: 64,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.57 : 114,351.93 = 47,051.82 : x
  2. Step 2: Convert to fraction form
    82,866.57/114,351.93 = 47,051.82/x
  3. Step 3: Cross multiply
    82,866.57x = 114,351.93 × 47,051.82
  4. Step 4: Simplify right side
    82,866.57x = 5,380,466,427.01
  5. Step 5: Solve for x
    x = 5,380,466,427.01/82,866.57
  6. Step 6: Final answer
    x = 64,929.28

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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.