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Finding the Fourth Proportional to 82,406.93, 123,610.39 and 29,804.11

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Solution

The fourth proportional to 82,406.93, 123,610.39 and 29,804.11 is: 44,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.93 : 123,610.39 = 29,804.11 : x
  2. Step 2: Convert to fraction form
    82,406.93/123,610.39 = 29,804.11/x
  3. Step 3: Cross multiply
    82,406.93x = 123,610.39 × 29,804.11
  4. Step 4: Simplify right side
    82,406.93x = 3,684,097,277.17
  5. Step 5: Solve for x
    x = 3,684,097,277.17/82,406.93
  6. Step 6: Final answer
    x = 44,706.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.