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Finding the Fourth Proportional to 29,011.81, 43,537.17 and 10,543.81

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Solution

The fourth proportional to 29,011.81, 43,537.17 and 10,543.81 is: 15,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,011.81 : 43,537.17 = 10,543.81 : x
  2. Step 2: Convert to fraction form
    29,011.81/43,537.17 = 10,543.81/x
  3. Step 3: Cross multiply
    29,011.81x = 43,537.17 × 10,543.81
  4. Step 4: Simplify right side
    29,011.81x = 459,047,648.42
  5. Step 5: Solve for x
    x = 459,047,648.42/29,011.81
  6. Step 6: Final answer
    x = 15,822.79

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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.