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Finding the Fourth Proportional to 83,918.38, 115,807.31 and 46,192.63

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Solution

The fourth proportional to 83,918.38, 115,807.31 and 46,192.63 is: 63,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,918.38 : 115,807.31 = 46,192.63 : x
  2. Step 2: Convert to fraction form
    83,918.38/115,807.31 = 46,192.63/x
  3. Step 3: Cross multiply
    83,918.38x = 115,807.31 × 46,192.63
  4. Step 4: Simplify right side
    83,918.38x = 5,349,444,222.13
  5. Step 5: Solve for x
    x = 5,349,444,222.13/83,918.38
  6. Step 6: Final answer
    x = 63,745.80

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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.