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Finding the Fourth Proportional to 82,573.95, 123,860.93 and 23,410.14

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Solution

The fourth proportional to 82,573.95, 123,860.93 and 23,410.14 is: 35,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,573.95 : 123,860.93 = 23,410.14 : x
  2. Step 2: Convert to fraction form
    82,573.95/123,860.93 = 23,410.14/x
  3. Step 3: Cross multiply
    82,573.95x = 123,860.93 × 23,410.14
  4. Step 4: Simplify right side
    82,573.95x = 2,899,601,711.83
  5. Step 5: Solve for x
    x = 2,899,601,711.83/82,573.95
  6. Step 6: Final answer
    x = 35,115.21

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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.