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Finding the Fourth Proportional to 29,155.64, 43,724.63 and 8,090.57

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Solution

The fourth proportional to 29,155.64, 43,724.63 and 8,090.57 is: 12,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,155.64 : 43,724.63 = 8,090.57 : x
  2. Step 2: Convert to fraction form
    29,155.64/43,724.63 = 8,090.57/x
  3. Step 3: Cross multiply
    29,155.64x = 43,724.63 × 8,090.57
  4. Step 4: Simplify right side
    29,155.64x = 353,756,920.66
  5. Step 5: Solve for x
    x = 353,756,920.66/29,155.64
  6. Step 6: Final answer
    x = 12,133.40

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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.