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Finding the Fourth Proportional to 84,394.80, 116,468.40 and 46,669

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Solution

The fourth proportional to 84,394.80, 116,468.40 and 46,669 is: 64,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,394.80 : 116,468.40 = 46,669 : x
  2. Step 2: Convert to fraction form
    84,394.80/116,468.40 = 46,669/x
  3. Step 3: Cross multiply
    84,394.80x = 116,468.40 × 46,669
  4. Step 4: Simplify right side
    84,394.80x = 5,435,463,759.60
  5. Step 5: Solve for x
    x = 5,435,463,759.60/84,394.80
  6. Step 6: Final answer
    x = 64,405.20

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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.