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Finding the Fourth Proportional to 83,896.31, 115,775.02 and 45,655.98

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Solution

The fourth proportional to 83,896.31, 115,775.02 and 45,655.98 is: 63,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,896.31 : 115,775.02 = 45,655.98 : x
  2. Step 2: Convert to fraction form
    83,896.31/115,775.02 = 45,655.98/x
  3. Step 3: Cross multiply
    83,896.31x = 115,775.02 × 45,655.98
  4. Step 4: Simplify right side
    83,896.31x = 5,285,821,946.15
  5. Step 5: Solve for x
    x = 5,285,821,946.15/83,896.31
  6. Step 6: Final answer
    x = 63,004.23

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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.