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Finding the Fourth Proportional to 83,635.56, 115,405.63 and 47,828.00

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Solution

The fourth proportional to 83,635.56, 115,405.63 and 47,828.00 is: 65,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,635.56 : 115,405.63 = 47,828.00 : x
  2. Step 2: Convert to fraction form
    83,635.56/115,405.63 = 47,828.00/x
  3. Step 3: Cross multiply
    83,635.56x = 115,405.63 × 47,828.00
  4. Step 4: Simplify right side
    83,635.56x = 5,519,620,640.58
  5. Step 5: Solve for x
    x = 5,519,620,640.58/83,635.56
  6. Step 6: Final answer
    x = 65,996.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.