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Finding the Fourth Proportional to 86,413, 119,249.94 and 46,669

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Solution

The fourth proportional to 86,413, 119,249.94 and 46,669 is: 64,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,413 : 119,249.94 = 46,669 : x
  2. Step 2: Convert to fraction form
    86,413/119,249.94 = 46,669/x
  3. Step 3: Cross multiply
    86,413x = 119,249.94 × 46,669
  4. Step 4: Simplify right side
    86,413x = 5,565,275,449.86
  5. Step 5: Solve for x
    x = 5,565,275,449.86/86,413
  6. Step 6: Final answer
    x = 64,403.22

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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.