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Finding the Fourth Proportional to 81,707.60, 112,777.80 and 49,898

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Solution

The fourth proportional to 81,707.60, 112,777.80 and 49,898 is: 68,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,707.60 : 112,777.80 = 49,898 : x
  2. Step 2: Convert to fraction form
    81,707.60/112,777.80 = 49,898/x
  3. Step 3: Cross multiply
    81,707.60x = 112,777.80 × 49,898
  4. Step 4: Simplify right side
    81,707.60x = 5,627,386,664.40
  5. Step 5: Solve for x
    x = 5,627,386,664.40/81,707.60
  6. Step 6: Final answer
    x = 68,872.26

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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.