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Finding the Fourth Proportional to 30,357.76, 41,891.16 and 16,927.96

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Solution

The fourth proportional to 30,357.76, 41,891.16 and 16,927.96 is: 23,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357.76 : 41,891.16 = 16,927.96 : x
  2. Step 2: Convert to fraction form
    30,357.76/41,891.16 = 16,927.96/x
  3. Step 3: Cross multiply
    30,357.76x = 41,891.16 × 16,927.96
  4. Step 4: Simplify right side
    30,357.76x = 709,131,880.83
  5. Step 5: Solve for x
    x = 709,131,880.83/30,357.76
  6. Step 6: Final answer
    x = 23,359.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.