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Finding the Fourth Proportional to 81,773.33, 112,830.65 and 47,775.25

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Solution

The fourth proportional to 81,773.33, 112,830.65 and 47,775.25 is: 65,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,773.33 : 112,830.65 = 47,775.25 : x
  2. Step 2: Convert to fraction form
    81,773.33/112,830.65 = 47,775.25/x
  3. Step 3: Cross multiply
    81,773.33x = 112,830.65 × 47,775.25
  4. Step 4: Simplify right side
    81,773.33x = 5,390,511,708.38
  5. Step 5: Solve for x
    x = 5,390,511,708.38/81,773.33
  6. Step 6: Final answer
    x = 65,920.17

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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.