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Finding the Fourth Proportional to 34,308.51, 51,455.55 and 9,678.75

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Solution

The fourth proportional to 34,308.51, 51,455.55 and 9,678.75 is: 14,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,308.51 : 51,455.55 = 9,678.75 : x
  2. Step 2: Convert to fraction form
    34,308.51/51,455.55 = 9,678.75/x
  3. Step 3: Cross multiply
    34,308.51x = 51,455.55 × 9,678.75
  4. Step 4: Simplify right side
    34,308.51x = 498,025,404.56
  5. Step 5: Solve for x
    x = 498,025,404.56/34,308.51
  6. Step 6: Final answer
    x = 14,516.09

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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.