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Finding the Fourth Proportional to 81,787.32, 112,868.32 and 49,973.76

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Solution

The fourth proportional to 81,787.32, 112,868.32 and 49,973.76 is: 68,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,787.32 : 112,868.32 = 49,973.76 : x
  2. Step 2: Convert to fraction form
    81,787.32/112,868.32 = 49,973.76/x
  3. Step 3: Cross multiply
    81,787.32x = 112,868.32 × 49,973.76
  4. Step 4: Simplify right side
    81,787.32x = 5,640,453,521.07
  5. Step 5: Solve for x
    x = 5,640,453,521.07/81,787.32
  6. Step 6: Final answer
    x = 68,964.89

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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.