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Finding the Fourth Proportional to 30,923.25, 42,674.09 and 16,776.09

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Solution

The fourth proportional to 30,923.25, 42,674.09 and 16,776.09 is: 23,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.25 : 42,674.09 = 16,776.09 : x
  2. Step 2: Convert to fraction form
    30,923.25/42,674.09 = 16,776.09/x
  3. Step 3: Cross multiply
    30,923.25x = 42,674.09 × 16,776.09
  4. Step 4: Simplify right side
    30,923.25x = 715,904,290.63
  5. Step 5: Solve for x
    x = 715,904,290.63/30,923.25
  6. Step 6: Final answer
    x = 23,151.00

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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.