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Finding the Fourth Proportional to 29,059, 43,594.98 and 10,591

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Solution

The fourth proportional to 29,059, 43,594.98 and 10,591 is: 15,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,059 : 43,594.98 = 10,591 : x
  2. Step 2: Convert to fraction form
    29,059/43,594.98 = 10,591/x
  3. Step 3: Cross multiply
    29,059x = 43,594.98 × 10,591
  4. Step 4: Simplify right side
    29,059x = 461,714,433.18
  5. Step 5: Solve for x
    x = 461,714,433.18/29,059
  6. Step 6: Final answer
    x = 15,888.86

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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.