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Finding the Fourth Proportional to 34,009.60, 51,014.40 and 31,806.40

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Solution

The fourth proportional to 34,009.60, 51,014.40 and 31,806.40 is: 47,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.60 : 51,014.40 = 31,806.40 : x
  2. Step 2: Convert to fraction form
    34,009.60/51,014.40 = 31,806.40/x
  3. Step 3: Cross multiply
    34,009.60x = 51,014.40 × 31,806.40
  4. Step 4: Simplify right side
    34,009.60x = 1,622,584,412.16
  5. Step 5: Solve for x
    x = 1,622,584,412.16/34,009.60
  6. Step 6: Final answer
    x = 47,709.60

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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.