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Finding the Fourth Proportional to 84,171, 116,158.41 and 46,447.68

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Solution

The fourth proportional to 84,171, 116,158.41 and 46,447.68 is: 64,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,171 : 116,158.41 = 46,447.68 : x
  2. Step 2: Convert to fraction form
    84,171/116,158.41 = 46,447.68/x
  3. Step 3: Cross multiply
    84,171x = 116,158.41 × 46,447.68
  4. Step 4: Simplify right side
    84,171x = 5,395,288,656.99
  5. Step 5: Solve for x
    x = 5,395,288,656.99/84,171
  6. Step 6: Final answer
    x = 64,099.14

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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.