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Finding the Fourth Proportional to 30,262.38, 41,758.08 and 16,830.96

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Solution

The fourth proportional to 30,262.38, 41,758.08 and 16,830.96 is: 23,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,262.38 : 41,758.08 = 16,830.96 : x
  2. Step 2: Convert to fraction form
    30,262.38/41,758.08 = 16,830.96/x
  3. Step 3: Cross multiply
    30,262.38x = 41,758.08 × 16,830.96
  4. Step 4: Simplify right side
    30,262.38x = 702,828,574.16
  5. Step 5: Solve for x
    x = 702,828,574.16/30,262.38
  6. Step 6: Final answer
    x = 23,224.50

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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.