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Finding the Fourth Proportional to 29,796.38, 44,701.06 and 9,021.50

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Solution

The fourth proportional to 29,796.38, 44,701.06 and 9,021.50 is: 13,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,796.38 : 44,701.06 = 9,021.50 : x
  2. Step 2: Convert to fraction form
    29,796.38/44,701.06 = 9,021.50/x
  3. Step 3: Cross multiply
    29,796.38x = 44,701.06 × 9,021.50
  4. Step 4: Simplify right side
    29,796.38x = 403,270,612.79
  5. Step 5: Solve for x
    x = 403,270,612.79/29,796.38
  6. Step 6: Final answer
    x = 13,534.21

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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.