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Finding the Fourth Proportional to 84,241.82, 116,254 and 46,001.78

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Solution

The fourth proportional to 84,241.82, 116,254 and 46,001.78 is: 63,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,241.82 : 116,254 = 46,001.78 : x
  2. Step 2: Convert to fraction form
    84,241.82/116,254 = 46,001.78/x
  3. Step 3: Cross multiply
    84,241.82x = 116,254 × 46,001.78
  4. Step 4: Simplify right side
    84,241.82x = 5,347,890,932.12
  5. Step 5: Solve for x
    x = 5,347,890,932.12/84,241.82
  6. Step 6: Final answer
    x = 63,482.61

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1.5x scale

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.