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Finding the Fourth Proportional to 29,508.35, 44,262.54 and 9,782.33

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Solution

The fourth proportional to 29,508.35, 44,262.54 and 9,782.33 is: 14,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,508.35 : 44,262.54 = 9,782.33 : x
  2. Step 2: Convert to fraction form
    29,508.35/44,262.54 = 9,782.33/x
  3. Step 3: Cross multiply
    29,508.35x = 44,262.54 × 9,782.33
  4. Step 4: Simplify right side
    29,508.35x = 432,990,551.61
  5. Step 5: Solve for x
    x = 432,990,551.61/29,508.35
  6. Step 6: Final answer
    x = 14,673.49

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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.