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Finding the Fourth Proportional to 79,857.60, 110,196 and 46,320

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Solution

The fourth proportional to 79,857.60, 110,196 and 46,320 is: 63,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,857.60 : 110,196 = 46,320 : x
  2. Step 2: Convert to fraction form
    79,857.60/110,196 = 46,320/x
  3. Step 3: Cross multiply
    79,857.60x = 110,196 × 46,320
  4. Step 4: Simplify right side
    79,857.60x = 5,104,278,720
  5. Step 5: Solve for x
    x = 5,104,278,720/79,857.60
  6. Step 6: Final answer
    x = 63,917.26

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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.