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Finding the Fourth Proportional to 85,340.64, 128,010.92 and 23,011.14

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Solution

The fourth proportional to 85,340.64, 128,010.92 and 23,011.14 is: 34,516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,340.64 : 128,010.92 = 23,011.14 : x
  2. Step 2: Convert to fraction form
    85,340.64/128,010.92 = 23,011.14/x
  3. Step 3: Cross multiply
    85,340.64x = 128,010.92 × 23,011.14
  4. Step 4: Simplify right side
    85,340.64x = 2,945,677,201.65
  5. Step 5: Solve for x
    x = 2,945,677,201.65/85,340.64
  6. Step 6: Final answer
    x = 34,516.70

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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.