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Finding the Fourth Proportional to 34,141.60, 51,212.40 and 15,709.60

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Solution

The fourth proportional to 34,141.60, 51,212.40 and 15,709.60 is: 23,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.60 : 51,212.40 = 15,709.60 : x
  2. Step 2: Convert to fraction form
    34,141.60/51,212.40 = 15,709.60/x
  3. Step 3: Cross multiply
    34,141.60x = 51,212.40 × 15,709.60
  4. Step 4: Simplify right side
    34,141.60x = 804,526,319.04
  5. Step 5: Solve for x
    x = 804,526,319.04/34,141.60
  6. Step 6: Final answer
    x = 23,564.40

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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.