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Finding the Fourth Proportional to 82,455.75, 113,788.97 and 46,645

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Solution

The fourth proportional to 82,455.75, 113,788.97 and 46,645 is: 64,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,455.75 : 113,788.97 = 46,645 : x
  2. Step 2: Convert to fraction form
    82,455.75/113,788.97 = 46,645/x
  3. Step 3: Cross multiply
    82,455.75x = 113,788.97 × 46,645
  4. Step 4: Simplify right side
    82,455.75x = 5,307,686,505.65
  5. Step 5: Solve for x
    x = 5,307,686,505.65/82,455.75
  6. Step 6: Final answer
    x = 64,370.12

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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.