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Finding the Fourth Proportional to 84,695.85, 116,879.47 and 46,454.61

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Solution

The fourth proportional to 84,695.85, 116,879.47 and 46,454.61 is: 64,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,695.85 : 116,879.47 = 46,454.61 : x
  2. Step 2: Convert to fraction form
    84,695.85/116,879.47 = 46,454.61/x
  3. Step 3: Cross multiply
    84,695.85x = 116,879.47 × 46,454.61
  4. Step 4: Simplify right side
    84,695.85x = 5,429,590,195.86
  5. Step 5: Solve for x
    x = 5,429,590,195.86/84,695.85
  6. Step 6: Final answer
    x = 64,106.92

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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.