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Finding the Fourth Proportional to 106,515, 159,772.50 and 32,643

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Solution

The fourth proportional to 106,515, 159,772.50 and 32,643 is: 48,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,515 : 159,772.50 = 32,643 : x
  2. Step 2: Convert to fraction form
    106,515/159,772.50 = 32,643/x
  3. Step 3: Cross multiply
    106,515x = 159,772.50 × 32,643
  4. Step 4: Simplify right side
    106,515x = 5,215,453,717.50
  5. Step 5: Solve for x
    x = 5,215,453,717.50/106,515
  6. Step 6: Final answer
    x = 48,964.50

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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.