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Finding the Fourth Proportional to 84,143.83, 116,110.42 and 46,415.65

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Solution

The fourth proportional to 84,143.83, 116,110.42 and 46,415.65 is: 64,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143.83 : 116,110.42 = 46,415.65 : x
  2. Step 2: Convert to fraction form
    84,143.83/116,110.42 = 46,415.65/x
  3. Step 3: Cross multiply
    84,143.83x = 116,110.42 × 46,415.65
  4. Step 4: Simplify right side
    84,143.83x = 5,389,340,616.07
  5. Step 5: Solve for x
    x = 5,389,340,616.07/84,143.83
  6. Step 6: Final answer
    x = 64,049.15

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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.