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Finding the Fourth Proportional to 30,923.64, 42,674.24 and 16,776.38

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Solution

The fourth proportional to 30,923.64, 42,674.24 and 16,776.38 is: 23,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.64 : 42,674.24 = 16,776.38 : x
  2. Step 2: Convert to fraction form
    30,923.64/42,674.24 = 16,776.38/x
  3. Step 3: Cross multiply
    30,923.64x = 42,674.24 × 16,776.38
  4. Step 4: Simplify right side
    30,923.64x = 715,919,415.08
  5. Step 5: Solve for x
    x = 715,919,415.08/30,923.64
  6. Step 6: Final answer
    x = 23,151.20

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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.