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Finding the Fourth Proportional to 83,796.65, 115,641.65 and 45,558.77

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Solution

The fourth proportional to 83,796.65, 115,641.65 and 45,558.77 is: 62,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,796.65 : 115,641.65 = 45,558.77 : x
  2. Step 2: Convert to fraction form
    83,796.65/115,641.65 = 45,558.77/x
  3. Step 3: Cross multiply
    83,796.65x = 115,641.65 × 45,558.77
  4. Step 4: Simplify right side
    83,796.65x = 5,268,491,159.56
  5. Step 5: Solve for x
    x = 5,268,491,159.56/83,796.65
  6. Step 6: Final answer
    x = 62,872.34

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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.