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Finding the Fourth Proportional to 84,212.84, 116,213.82 and 46,487.09

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Solution

The fourth proportional to 84,212.84, 116,213.82 and 46,487.09 is: 64,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212.84 : 116,213.82 = 46,487.09 : x
  2. Step 2: Convert to fraction form
    84,212.84/116,213.82 = 46,487.09/x
  3. Step 3: Cross multiply
    84,212.84x = 116,213.82 × 46,487.09
  4. Step 4: Simplify right side
    84,212.84x = 5,402,442,309.58
  5. Step 5: Solve for x
    x = 5,402,442,309.58/84,212.84
  6. Step 6: Final answer
    x = 64,152.24

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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.