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Finding the Fourth Proportional to 84,399, 116,465.89 and 46,150.96

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Solution

The fourth proportional to 84,399, 116,465.89 and 46,150.96 is: 63,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,399 : 116,465.89 = 46,150.96 : x
  2. Step 2: Convert to fraction form
    84,399/116,465.89 = 46,150.96/x
  3. Step 3: Cross multiply
    84,399x = 116,465.89 × 46,150.96
  4. Step 4: Simplify right side
    84,399x = 5,375,012,630.75
  5. Step 5: Solve for x
    x = 5,375,012,630.75/84,399
  6. Step 6: Final answer
    x = 63,685.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.