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Finding the Fourth Proportional to 30,527.66, 42,128.97 and 17,098.85

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Solution

The fourth proportional to 30,527.66, 42,128.97 and 17,098.85 is: 23,596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.66 : 42,128.97 = 17,098.85 : x
  2. Step 2: Convert to fraction form
    30,527.66/42,128.97 = 17,098.85/x
  3. Step 3: Cross multiply
    30,527.66x = 42,128.97 × 17,098.85
  4. Step 4: Simplify right side
    30,527.66x = 720,356,938.68
  5. Step 5: Solve for x
    x = 720,356,938.68/30,527.66
  6. Step 6: Final answer
    x = 23,596.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.