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Finding the Fourth Proportional to 101,911.96, 152,751.30 and 39,529

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Solution

The fourth proportional to 101,911.96, 152,751.30 and 39,529 is: 59,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,911.96 : 152,751.30 = 39,529 : x
  2. Step 2: Convert to fraction form
    101,911.96/152,751.30 = 39,529/x
  3. Step 3: Cross multiply
    101,911.96x = 152,751.30 × 39,529
  4. Step 4: Simplify right side
    101,911.96x = 6,038,106,137.70
  5. Step 5: Solve for x
    x = 6,038,106,137.70/101,911.96
  6. Step 6: Final answer
    x = 59,248.26

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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.