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Finding the Fourth Proportional to 77,553.84, 116,324.28 and 30,794.16

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Solution

The fourth proportional to 77,553.84, 116,324.28 and 30,794.16 is: 46,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,553.84 : 116,324.28 = 30,794.16 : x
  2. Step 2: Convert to fraction form
    77,553.84/116,324.28 = 30,794.16/x
  3. Step 3: Cross multiply
    77,553.84x = 116,324.28 × 30,794.16
  4. Step 4: Simplify right side
    77,553.84x = 3,582,108,490.20
  5. Step 5: Solve for x
    x = 3,582,108,490.20/77,553.84
  6. Step 6: Final answer
    x = 46,188.67

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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.