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Finding the Fourth Proportional to 82,594.35, 113,987.28 and 46,790.73

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Solution

The fourth proportional to 82,594.35, 113,987.28 and 46,790.73 is: 64,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,594.35 : 113,987.28 = 46,790.73 : x
  2. Step 2: Convert to fraction form
    82,594.35/113,987.28 = 46,790.73/x
  3. Step 3: Cross multiply
    82,594.35x = 113,987.28 × 46,790.73
  4. Step 4: Simplify right side
    82,594.35x = 5,333,548,217.38
  5. Step 5: Solve for x
    x = 5,333,548,217.38/82,594.35
  6. Step 6: Final answer
    x = 64,575.22

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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.