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Finding the Fourth Proportional to 84,138.63, 116,109.46 and 46,412.88

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Solution

The fourth proportional to 84,138.63, 116,109.46 and 46,412.88 is: 64,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,138.63 : 116,109.46 = 46,412.88 : x
  2. Step 2: Convert to fraction form
    84,138.63/116,109.46 = 46,412.88/x
  3. Step 3: Cross multiply
    84,138.63x = 116,109.46 × 46,412.88
  4. Step 4: Simplify right side
    84,138.63x = 5,388,974,433.84
  5. Step 5: Solve for x
    x = 5,388,974,433.84/84,138.63
  6. Step 6: Final answer
    x = 64,048.75

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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.