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Finding the Fourth Proportional to 81,842.94, 112,943.88 and 46,032.66

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Solution

The fourth proportional to 81,842.94, 112,943.88 and 46,032.66 is: 63,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.94 : 112,943.88 = 46,032.66 : x
  2. Step 2: Convert to fraction form
    81,842.94/112,943.88 = 46,032.66/x
  3. Step 3: Cross multiply
    81,842.94x = 112,943.88 × 46,032.66
  4. Step 4: Simplify right side
    81,842.94x = 5,199,107,227.12
  5. Step 5: Solve for x
    x = 5,199,107,227.12/81,842.94
  6. Step 6: Final answer
    x = 63,525.42

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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.