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Finding the Fourth Proportional to 106,534.53, 159,795.54 and 39,969.09

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Solution

The fourth proportional to 106,534.53, 159,795.54 and 39,969.09 is: 59,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,534.53 : 159,795.54 = 39,969.09 : x
  2. Step 2: Convert to fraction form
    106,534.53/159,795.54 = 39,969.09/x
  3. Step 3: Cross multiply
    106,534.53x = 159,795.54 × 39,969.09
  4. Step 4: Simplify right side
    106,534.53x = 6,386,882,319.86
  5. Step 5: Solve for x
    x = 6,386,882,319.86/106,534.53
  6. Step 6: Final answer
    x = 59,951.29

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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.