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Finding the Fourth Proportional to 30,824.78, 46,234.88 and 14,980.88

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Solution

The fourth proportional to 30,824.78, 46,234.88 and 14,980.88 is: 22,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.78 : 46,234.88 = 14,980.88 : x
  2. Step 2: Convert to fraction form
    30,824.78/46,234.88 = 14,980.88/x
  3. Step 3: Cross multiply
    30,824.78x = 46,234.88 × 14,980.88
  4. Step 4: Simplify right side
    30,824.78x = 692,639,189.09
  5. Step 5: Solve for x
    x = 692,639,189.09/30,824.78
  6. Step 6: Final answer
    x = 22,470.21

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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.