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Finding the Fourth Proportional to 84,471.64, 116,574.51 and 46,745.89

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Solution

The fourth proportional to 84,471.64, 116,574.51 and 46,745.89 is: 64,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,471.64 : 116,574.51 = 46,745.89 : x
  2. Step 2: Convert to fraction form
    84,471.64/116,574.51 = 46,745.89/x
  3. Step 3: Cross multiply
    84,471.64x = 116,574.51 × 46,745.89
  4. Step 4: Simplify right side
    84,471.64x = 5,449,379,221.26
  5. Step 5: Solve for x
    x = 5,449,379,221.26/84,471.64
  6. Step 6: Final answer
    x = 64,511.35

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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.