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Finding the Fourth Proportional to 71,832.98, 107,640.12 and 34,341.53

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Solution

The fourth proportional to 71,832.98, 107,640.12 and 34,341.53 is: 51,460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832.98 : 107,640.12 = 34,341.53 : x
  2. Step 2: Convert to fraction form
    71,832.98/107,640.12 = 34,341.53/x
  3. Step 3: Cross multiply
    71,832.98x = 107,640.12 × 34,341.53
  4. Step 4: Simplify right side
    71,832.98x = 3,696,525,871.98
  5. Step 5: Solve for x
    x = 3,696,525,871.98/71,832.98
  6. Step 6: Final answer
    x = 51,460.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.