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Finding the Fourth Proportional to 84,636.12, 116,801.82 and 46,911

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Solution

The fourth proportional to 84,636.12, 116,801.82 and 46,911 is: 64,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,636.12 : 116,801.82 = 46,911 : x
  2. Step 2: Convert to fraction form
    84,636.12/116,801.82 = 46,911/x
  3. Step 3: Cross multiply
    84,636.12x = 116,801.82 × 46,911
  4. Step 4: Simplify right side
    84,636.12x = 5,479,290,178.02
  5. Step 5: Solve for x
    x = 5,479,290,178.02/84,636.12
  6. Step 6: Final answer
    x = 64,739.38

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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.