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Finding the Fourth Proportional to 82,907.84, 124,325.22 and 23,730.08

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Solution

The fourth proportional to 82,907.84, 124,325.22 and 23,730.08 is: 35,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,907.84 : 124,325.22 = 23,730.08 : x
  2. Step 2: Convert to fraction form
    82,907.84/124,325.22 = 23,730.08/x
  3. Step 3: Cross multiply
    82,907.84x = 124,325.22 × 23,730.08
  4. Step 4: Simplify right side
    82,907.84x = 2,950,247,416.62
  5. Step 5: Solve for x
    x = 2,950,247,416.62/82,907.84
  6. Step 6: Final answer
    x = 35,584.66

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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.