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Finding the Fourth Proportional to 150,435, 225,652.50 and 39,627

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Solution

The fourth proportional to 150,435, 225,652.50 and 39,627 is: 59,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,435 : 225,652.50 = 39,627 : x
  2. Step 2: Convert to fraction form
    150,435/225,652.50 = 39,627/x
  3. Step 3: Cross multiply
    150,435x = 225,652.50 × 39,627
  4. Step 4: Simplify right side
    150,435x = 8,941,931,617.50
  5. Step 5: Solve for x
    x = 8,941,931,617.50/150,435
  6. Step 6: Final answer
    x = 59,440.50

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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.