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Finding the Fourth Proportional to 82,730.69, 124,115.49 and 23,567.21

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Solution

The fourth proportional to 82,730.69, 124,115.49 and 23,567.21 is: 35,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,730.69 : 124,115.49 = 23,567.21 : x
  2. Step 2: Convert to fraction form
    82,730.69/124,115.49 = 23,567.21/x
  3. Step 3: Cross multiply
    82,730.69x = 124,115.49 × 23,567.21
  4. Step 4: Simplify right side
    82,730.69x = 2,925,055,817.08
  5. Step 5: Solve for x
    x = 2,925,055,817.08/82,730.69
  6. Step 6: Final answer
    x = 35,356.36

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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.