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Finding the Fourth Proportional to 29,153.65, 43,734.03 and 10,435.66

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Solution

The fourth proportional to 29,153.65, 43,734.03 and 10,435.66 is: 15,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,153.65 : 43,734.03 = 10,435.66 : x
  2. Step 2: Convert to fraction form
    29,153.65/43,734.03 = 10,435.66/x
  3. Step 3: Cross multiply
    29,153.65x = 43,734.03 × 10,435.66
  4. Step 4: Simplify right side
    29,153.65x = 456,393,248.84
  5. Step 5: Solve for x
    x = 456,393,248.84/29,153.65
  6. Step 6: Final answer
    x = 15,654.76

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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.