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Finding the Fourth Proportional to 81,855.67, 112,948.41 and 46,054.48

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Solution

The fourth proportional to 81,855.67, 112,948.41 and 46,054.48 is: 63,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.67 : 112,948.41 = 46,054.48 : x
  2. Step 2: Convert to fraction form
    81,855.67/112,948.41 = 46,054.48/x
  3. Step 3: Cross multiply
    81,855.67x = 112,948.41 × 46,054.48
  4. Step 4: Simplify right side
    81,855.67x = 5,201,780,289.38
  5. Step 5: Solve for x
    x = 5,201,780,289.38/81,855.67
  6. Step 6: Final answer
    x = 63,548.20

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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.