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Finding the Fourth Proportional to 106,170.84, 159,145.20 and 39,582

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Solution

The fourth proportional to 106,170.84, 159,145.20 and 39,582 is: 59,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,170.84 : 159,145.20 = 39,582 : x
  2. Step 2: Convert to fraction form
    106,170.84/159,145.20 = 39,582/x
  3. Step 3: Cross multiply
    106,170.84x = 159,145.20 × 39,582
  4. Step 4: Simplify right side
    106,170.84x = 6,299,285,306.40
  5. Step 5: Solve for x
    x = 6,299,285,306.40/106,170.84
  6. Step 6: Final answer
    x = 59,331.60

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