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Finding the Fourth Proportional to 84,380.91, 116,449.70 and 46,657.59

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Solution

The fourth proportional to 84,380.91, 116,449.70 and 46,657.59 is: 64,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,380.91 : 116,449.70 = 46,657.59 : x
  2. Step 2: Convert to fraction form
    84,380.91/116,449.70 = 46,657.59/x
  3. Step 3: Cross multiply
    84,380.91x = 116,449.70 × 46,657.59
  4. Step 4: Simplify right side
    84,380.91x = 5,433,262,124.94
  5. Step 5: Solve for x
    x = 5,433,262,124.94/84,380.91
  6. Step 6: Final answer
    x = 64,389.71

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1.5x scale

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.