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Finding the Fourth Proportional to 84,464.84, 116,562.30 and 46,739

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Solution

The fourth proportional to 84,464.84, 116,562.30 and 46,739 is: 64,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,464.84 : 116,562.30 = 46,739 : x
  2. Step 2: Convert to fraction form
    84,464.84/116,562.30 = 46,739/x
  3. Step 3: Cross multiply
    84,464.84x = 116,562.30 × 46,739
  4. Step 4: Simplify right side
    84,464.84x = 5,448,005,339.70
  5. Step 5: Solve for x
    x = 5,448,005,339.70/84,464.84
  6. Step 6: Final answer
    x = 64,500.27

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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.