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Finding the Fourth Proportional to 29,338.76, 43,985.46 and 9,605

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Solution

The fourth proportional to 29,338.76, 43,985.46 and 9,605 is: 14,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,338.76 : 43,985.46 = 9,605 : x
  2. Step 2: Convert to fraction form
    29,338.76/43,985.46 = 9,605/x
  3. Step 3: Cross multiply
    29,338.76x = 43,985.46 × 9,605
  4. Step 4: Simplify right side
    29,338.76x = 422,480,343.30
  5. Step 5: Solve for x
    x = 422,480,343.30/29,338.76
  6. Step 6: Final answer
    x = 14,400.07

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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.