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Finding the Fourth Proportional to 83,978.26, 115,884.68 and 46,252.51

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Solution

The fourth proportional to 83,978.26, 115,884.68 and 46,252.51 is: 63,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,978.26 : 115,884.68 = 46,252.51 : x
  2. Step 2: Convert to fraction form
    83,978.26/115,884.68 = 46,252.51/x
  3. Step 3: Cross multiply
    83,978.26x = 115,884.68 × 46,252.51
  4. Step 4: Simplify right side
    83,978.26x = 5,359,957,436.18
  5. Step 5: Solve for x
    x = 5,359,957,436.18/83,978.26
  6. Step 6: Final answer
    x = 63,825.54

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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.