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Finding the Fourth Proportional to 30,313.92, 45,470.96 and 10,592.48

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Solution

The fourth proportional to 30,313.92, 45,470.96 and 10,592.48 is: 15,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,313.92 : 45,470.96 = 10,592.48 : x
  2. Step 2: Convert to fraction form
    30,313.92/45,470.96 = 10,592.48/x
  3. Step 3: Cross multiply
    30,313.92x = 45,470.96 × 10,592.48
  4. Step 4: Simplify right side
    30,313.92x = 481,650,234.38
  5. Step 5: Solve for x
    x = 481,650,234.38/30,313.92
  6. Step 6: Final answer
    x = 15,888.75

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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.