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Finding the Fourth Proportional to 84,690.91, 116,873.46 and 46,965.16

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Solution

The fourth proportional to 84,690.91, 116,873.46 and 46,965.16 is: 64,811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,690.91 : 116,873.46 = 46,965.16 : x
  2. Step 2: Convert to fraction form
    84,690.91/116,873.46 = 46,965.16/x
  3. Step 3: Cross multiply
    84,690.91x = 116,873.46 × 46,965.16
  4. Step 4: Simplify right side
    84,690.91x = 5,488,980,748.65
  5. Step 5: Solve for x
    x = 5,488,980,748.65/84,690.91
  6. Step 6: Final answer
    x = 64,811.92

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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.