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Finding the Fourth Proportional to 30,462.96, 45,632.88 and 23,857.68

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Solution

The fourth proportional to 30,462.96, 45,632.88 and 23,857.68 is: 35,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.96 : 45,632.88 = 23,857.68 : x
  2. Step 2: Convert to fraction form
    30,462.96/45,632.88 = 23,857.68/x
  3. Step 3: Cross multiply
    30,462.96x = 45,632.88 × 23,857.68
  4. Step 4: Simplify right side
    30,462.96x = 1,088,694,648.52
  5. Step 5: Solve for x
    x = 1,088,694,648.52/30,462.96
  6. Step 6: Final answer
    x = 35,738.31

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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.