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Finding the Fourth Proportional to 81,842.33, 112,941.29 and 46,032.32

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Solution

The fourth proportional to 81,842.33, 112,941.29 and 46,032.32 is: 63,523.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.33 : 112,941.29 = 46,032.32 : x
  2. Step 2: Convert to fraction form
    81,842.33/112,941.29 = 46,032.32/x
  3. Step 3: Cross multiply
    81,842.33x = 112,941.29 × 46,032.32
  4. Step 4: Simplify right side
    81,842.33x = 5,198,949,602.49
  5. Step 5: Solve for x
    x = 5,198,949,602.49/81,842.33
  6. Step 6: Final answer
    x = 63,523.97

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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.