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Finding the Fourth Proportional to 81,810, 112,929.95 and 51,589.31

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Solution

The fourth proportional to 81,810, 112,929.95 and 51,589.31 is: 71,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,810 : 112,929.95 = 51,589.31 : x
  2. Step 2: Convert to fraction form
    81,810/112,929.95 = 51,589.31/x
  3. Step 3: Cross multiply
    81,810x = 112,929.95 × 51,589.31
  4. Step 4: Simplify right side
    81,810x = 5,825,977,763.16
  5. Step 5: Solve for x
    x = 5,825,977,763.16/81,810
  6. Step 6: Final answer
    x = 71,213.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.