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Finding the Fourth Proportional to 29,821.76, 44,674.32 and 24,564.32

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Solution

The fourth proportional to 29,821.76, 44,674.32 and 24,564.32 is: 36,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.76 : 44,674.32 = 24,564.32 : x
  2. Step 2: Convert to fraction form
    29,821.76/44,674.32 = 24,564.32/x
  3. Step 3: Cross multiply
    29,821.76x = 44,674.32 × 24,564.32
  4. Step 4: Simplify right side
    29,821.76x = 1,097,394,292.26
  5. Step 5: Solve for x
    x = 1,097,394,292.26/29,821.76
  6. Step 6: Final answer
    x = 36,798.44

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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.