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Finding the Fourth Proportional to 34,185.60, 51,278.40 and 31,982.40

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Solution

The fourth proportional to 34,185.60, 51,278.40 and 31,982.40 is: 47,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,185.60 : 51,278.40 = 31,982.40 : x
  2. Step 2: Convert to fraction form
    34,185.60/51,278.40 = 31,982.40/x
  3. Step 3: Cross multiply
    34,185.60x = 51,278.40 × 31,982.40
  4. Step 4: Simplify right side
    34,185.60x = 1,640,006,300.16
  5. Step 5: Solve for x
    x = 1,640,006,300.16/34,185.60
  6. Step 6: Final answer
    x = 47,973.60

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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.