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Finding the Fourth Proportional to 84,133.92, 116,107 and 45,894.12

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Solution

The fourth proportional to 84,133.92, 116,107 and 45,894.12 is: 63,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,133.92 : 116,107 = 45,894.12 : x
  2. Step 2: Convert to fraction form
    84,133.92/116,107 = 45,894.12/x
  3. Step 3: Cross multiply
    84,133.92x = 116,107 × 45,894.12
  4. Step 4: Simplify right side
    84,133.92x = 5,328,628,590.84
  5. Step 5: Solve for x
    x = 5,328,628,590.84/84,133.92
  6. Step 6: Final answer
    x = 63,335.08

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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.