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Finding the Fourth Proportional to 29,801.82, 44,697.81 and 9,020.46

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Solution

The fourth proportional to 29,801.82, 44,697.81 and 9,020.46 is: 13,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801.82 : 44,697.81 = 9,020.46 : x
  2. Step 2: Convert to fraction form
    29,801.82/44,697.81 = 9,020.46/x
  3. Step 3: Cross multiply
    29,801.82x = 44,697.81 × 9,020.46
  4. Step 4: Simplify right side
    29,801.82x = 403,194,807.19
  5. Step 5: Solve for x
    x = 403,194,807.19/29,801.82
  6. Step 6: Final answer
    x = 13,529.20

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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.