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Finding the Fourth Proportional to 29,242.56, 43,866.60 and 8,182.58

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Solution

The fourth proportional to 29,242.56, 43,866.60 and 8,182.58 is: 12,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,242.56 : 43,866.60 = 8,182.58 : x
  2. Step 2: Convert to fraction form
    29,242.56/43,866.60 = 8,182.58/x
  3. Step 3: Cross multiply
    29,242.56x = 43,866.60 × 8,182.58
  4. Step 4: Simplify right side
    29,242.56x = 358,941,963.83
  5. Step 5: Solve for x
    x = 358,941,963.83/29,242.56
  6. Step 6: Final answer
    x = 12,274.64

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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.