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Finding the Fourth Proportional to 29,221.56, 43,807.74 and 11,681.82

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Solution

The fourth proportional to 29,221.56, 43,807.74 and 11,681.82 is: 17,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,221.56 : 43,807.74 = 11,681.82 : x
  2. Step 2: Convert to fraction form
    29,221.56/43,807.74 = 11,681.82/x
  3. Step 3: Cross multiply
    29,221.56x = 43,807.74 × 11,681.82
  4. Step 4: Simplify right side
    29,221.56x = 511,754,089.48
  5. Step 5: Solve for x
    x = 511,754,089.48/29,221.56
  6. Step 6: Final answer
    x = 17,512.89

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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.