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Finding the Fourth Proportional to 32,503.14, 48,754.68 and 7,879.14

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Solution

The fourth proportional to 32,503.14, 48,754.68 and 7,879.14 is: 11,818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,503.14 : 48,754.68 = 7,879.14 : x
  2. Step 2: Convert to fraction form
    32,503.14/48,754.68 = 7,879.14/x
  3. Step 3: Cross multiply
    32,503.14x = 48,754.68 × 7,879.14
  4. Step 4: Simplify right side
    32,503.14x = 384,144,949.38
  5. Step 5: Solve for x
    x = 384,144,949.38/32,503.14
  6. Step 6: Final answer
    x = 11,818.70

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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.