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Finding the Fourth Proportional to 29,117.88, 43,676.82 and 13,527

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Solution

The fourth proportional to 29,117.88, 43,676.82 and 13,527 is: 20,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,117.88 : 43,676.82 = 13,527 : x
  2. Step 2: Convert to fraction form
    29,117.88/43,676.82 = 13,527/x
  3. Step 3: Cross multiply
    29,117.88x = 43,676.82 × 13,527
  4. Step 4: Simplify right side
    29,117.88x = 590,816,344.14
  5. Step 5: Solve for x
    x = 590,816,344.14/29,117.88
  6. Step 6: Final answer
    x = 20,290.50

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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.