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Finding the Fourth Proportional to 83,759.80, 115,584.26 and 46,035.40

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Solution

The fourth proportional to 83,759.80, 115,584.26 and 46,035.40 is: 63,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,759.80 : 115,584.26 = 46,035.40 : x
  2. Step 2: Convert to fraction form
    83,759.80/115,584.26 = 46,035.40/x
  3. Step 3: Cross multiply
    83,759.80x = 115,584.26 × 46,035.40
  4. Step 4: Simplify right side
    83,759.80x = 5,320,967,642.80
  5. Step 5: Solve for x
    x = 5,320,967,642.80/83,759.80
  6. Step 6: Final answer
    x = 63,526.51

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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.