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Finding the Fourth Proportional to 89,087.19, 122,940.34 and 48,802.38

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Solution

The fourth proportional to 89,087.19, 122,940.34 and 48,802.38 is: 67,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,087.19 : 122,940.34 = 48,802.38 : x
  2. Step 2: Convert to fraction form
    89,087.19/122,940.34 = 48,802.38/x
  3. Step 3: Cross multiply
    89,087.19x = 122,940.34 × 48,802.38
  4. Step 4: Simplify right side
    89,087.19x = 5,999,781,481.53
  5. Step 5: Solve for x
    x = 5,999,781,481.53/89,087.19
  6. Step 6: Final answer
    x = 67,347.30

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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.