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Finding the Fourth Proportional to 30,296.49, 41,810.49 and 16,867.23

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Solution

The fourth proportional to 30,296.49, 41,810.49 and 16,867.23 is: 23,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.49 : 41,810.49 = 16,867.23 : x
  2. Step 2: Convert to fraction form
    30,296.49/41,810.49 = 16,867.23/x
  3. Step 3: Cross multiply
    30,296.49x = 41,810.49 × 16,867.23
  4. Step 4: Simplify right side
    30,296.49x = 705,227,151.24
  5. Step 5: Solve for x
    x = 705,227,151.24/30,296.49
  6. Step 6: Final answer
    x = 23,277.52

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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.