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Finding the Fourth Proportional to 84,172.38, 116,157.88 and 46,446.63

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Solution

The fourth proportional to 84,172.38, 116,157.88 and 46,446.63 is: 64,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,172.38 : 116,157.88 = 46,446.63 : x
  2. Step 2: Convert to fraction form
    84,172.38/116,157.88 = 46,446.63/x
  3. Step 3: Cross multiply
    84,172.38x = 116,157.88 × 46,446.63
  4. Step 4: Simplify right side
    84,172.38x = 5,395,142,073.94
  5. Step 5: Solve for x
    x = 5,395,142,073.94/84,172.38
  6. Step 6: Final answer
    x = 64,096.35

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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.