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Finding the Fourth Proportional to 29,801.11, 44,706.54 and 9,019.75

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Solution

The fourth proportional to 29,801.11, 44,706.54 and 9,019.75 is: 13,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801.11 : 44,706.54 = 9,019.75 : x
  2. Step 2: Convert to fraction form
    29,801.11/44,706.54 = 9,019.75/x
  3. Step 3: Cross multiply
    29,801.11x = 44,706.54 × 9,019.75
  4. Step 4: Simplify right side
    29,801.11x = 403,241,814.17
  5. Step 5: Solve for x
    x = 403,241,814.17/29,801.11
  6. Step 6: Final answer
    x = 13,531.10

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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.