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Finding the Fourth Proportional to 82,453.54, 113,788.38 and 46,642.86

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Solution

The fourth proportional to 82,453.54, 113,788.38 and 46,642.86 is: 64,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,453.54 : 113,788.38 = 46,642.86 : x
  2. Step 2: Convert to fraction form
    82,453.54/113,788.38 = 46,642.86/x
  3. Step 3: Cross multiply
    82,453.54x = 113,788.38 × 46,642.86
  4. Step 4: Simplify right side
    82,453.54x = 5,307,415,477.97
  5. Step 5: Solve for x
    x = 5,307,415,477.97/82,453.54
  6. Step 6: Final answer
    x = 64,368.56

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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.