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Finding the Fourth Proportional to 32,503.50, 48,755.28 and 7,879.50

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Solution

The fourth proportional to 32,503.50, 48,755.28 and 7,879.50 is: 11,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.50 : 48,755.28 = 7,879.50 : x
  2. Step 2: Convert to fraction form
    32,503.50/48,755.28 = 7,879.50/x
  3. Step 3: Cross multiply
    32,503.50x = 48,755.28 × 7,879.50
  4. Step 4: Simplify right side
    32,503.50x = 384,167,228.76
  5. Step 5: Solve for x
    x = 384,167,228.76/32,503.50
  6. Step 6: Final answer
    x = 11,819.26

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1.5x scale

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.