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Finding the Fourth Proportional to 83,815.94, 115,665.38 and 45,575.51

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Solution

The fourth proportional to 83,815.94, 115,665.38 and 45,575.51 is: 62,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,815.94 : 115,665.38 = 45,575.51 : x
  2. Step 2: Convert to fraction form
    83,815.94/115,665.38 = 45,575.51/x
  3. Step 3: Cross multiply
    83,815.94x = 115,665.38 × 45,575.51
  4. Step 4: Simplify right side
    83,815.94x = 5,271,507,876.64
  5. Step 5: Solve for x
    x = 5,271,507,876.64/83,815.94
  6. Step 6: Final answer
    x = 62,893.86

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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.