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Finding the Fourth Proportional to 29,103.88, 43,655.82 and 13,513

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Solution

The fourth proportional to 29,103.88, 43,655.82 and 13,513 is: 20,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,103.88 : 43,655.82 = 13,513 : x
  2. Step 2: Convert to fraction form
    29,103.88/43,655.82 = 13,513/x
  3. Step 3: Cross multiply
    29,103.88x = 43,655.82 × 13,513
  4. Step 4: Simplify right side
    29,103.88x = 589,921,095.66
  5. Step 5: Solve for x
    x = 589,921,095.66/29,103.88
  6. Step 6: Final answer
    x = 20,269.50

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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.