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Finding the Fourth Proportional to 30,405.66, 41,948.73 and 17,827.98

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Solution

The fourth proportional to 30,405.66, 41,948.73 and 17,827.98 is: 24,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.66 : 41,948.73 = 17,827.98 : x
  2. Step 2: Convert to fraction form
    30,405.66/41,948.73 = 17,827.98/x
  3. Step 3: Cross multiply
    30,405.66x = 41,948.73 × 17,827.98
  4. Step 4: Simplify right side
    30,405.66x = 747,861,119.47
  5. Step 5: Solve for x
    x = 747,861,119.47/30,405.66
  6. Step 6: Final answer
    x = 24,596.12

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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.