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Finding the Fourth Proportional to 101,511.64, 152,357.91 and 48,269.26

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Solution

The fourth proportional to 101,511.64, 152,357.91 and 48,269.26 is: 72,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,511.64 : 152,357.91 = 48,269.26 : x
  2. Step 2: Convert to fraction form
    101,511.64/152,357.91 = 48,269.26/x
  3. Step 3: Cross multiply
    101,511.64x = 152,357.91 × 48,269.26
  4. Step 4: Simplify right side
    101,511.64x = 7,354,203,570.85
  5. Step 5: Solve for x
    x = 7,354,203,570.85/101,511.64
  6. Step 6: Final answer
    x = 72,446.90

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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.