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Finding the Fourth Proportional to 30,225.77, 41,710.73 and 16,796.68

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Solution

The fourth proportional to 30,225.77, 41,710.73 and 16,796.68 is: 23,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.77 : 41,710.73 = 16,796.68 : x
  2. Step 2: Convert to fraction form
    30,225.77/41,710.73 = 16,796.68/x
  3. Step 3: Cross multiply
    30,225.77x = 41,710.73 × 16,796.68
  4. Step 4: Simplify right side
    30,225.77x = 700,601,784.38
  5. Step 5: Solve for x
    x = 700,601,784.38/30,225.77
  6. Step 6: Final answer
    x = 23,178.96

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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.