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Finding the Fourth Proportional to 34,938.57, 52,409.60 and 9,982.31

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Solution

The fourth proportional to 34,938.57, 52,409.60 and 9,982.31 is: 14,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938.57 : 52,409.60 = 9,982.31 : x
  2. Step 2: Convert to fraction form
    34,938.57/52,409.60 = 9,982.31/x
  3. Step 3: Cross multiply
    34,938.57x = 52,409.60 × 9,982.31
  4. Step 4: Simplify right side
    34,938.57x = 523,168,599.65
  5. Step 5: Solve for x
    x = 523,168,599.65/34,938.57
  6. Step 6: Final answer
    x = 14,973.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.