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Finding the Fourth Proportional to 27,463.92, 41,199.12 and 20,582.16

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Solution

The fourth proportional to 27,463.92, 41,199.12 and 20,582.16 is: 30,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,463.92 : 41,199.12 = 20,582.16 : x
  2. Step 2: Convert to fraction form
    27,463.92/41,199.12 = 20,582.16/x
  3. Step 3: Cross multiply
    27,463.92x = 41,199.12 × 20,582.16
  4. Step 4: Simplify right side
    27,463.92x = 847,966,879.70
  5. Step 5: Solve for x
    x = 847,966,879.70/27,463.92
  6. Step 6: Final answer
    x = 30,875.67

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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.