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Finding the Fourth Proportional to 29,810.33, 44,721.20 and 9,825.59

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Solution

The fourth proportional to 29,810.33, 44,721.20 and 9,825.59 is: 14,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.33 : 44,721.20 = 9,825.59 : x
  2. Step 2: Convert to fraction form
    29,810.33/44,721.20 = 9,825.59/x
  3. Step 3: Cross multiply
    29,810.33x = 44,721.20 × 9,825.59
  4. Step 4: Simplify right side
    29,810.33x = 439,412,311.87
  5. Step 5: Solve for x
    x = 439,412,311.87/29,810.33
  6. Step 6: Final answer
    x = 14,740.27

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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.