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Finding the Fourth Proportional to 101,435.40, 152,153.10 and 27,563.40

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Solution

The fourth proportional to 101,435.40, 152,153.10 and 27,563.40 is: 41,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,435.40 : 152,153.10 = 27,563.40 : x
  2. Step 2: Convert to fraction form
    101,435.40/152,153.10 = 27,563.40/x
  3. Step 3: Cross multiply
    101,435.40x = 152,153.10 × 27,563.40
  4. Step 4: Simplify right side
    101,435.40x = 4,193,856,756.54
  5. Step 5: Solve for x
    x = 4,193,856,756.54/101,435.40
  6. Step 6: Final answer
    x = 41,345.10

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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.