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Finding the Fourth Proportional to 29,141.85, 43,703.51 and 9,415.74

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Solution

The fourth proportional to 29,141.85, 43,703.51 and 9,415.74 is: 14,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,141.85 : 43,703.51 = 9,415.74 : x
  2. Step 2: Convert to fraction form
    29,141.85/43,703.51 = 9,415.74/x
  3. Step 3: Cross multiply
    29,141.85x = 43,703.51 × 9,415.74
  4. Step 4: Simplify right side
    29,141.85x = 411,500,840.17
  5. Step 5: Solve for x
    x = 411,500,840.17/29,141.85
  6. Step 6: Final answer
    x = 14,120.61

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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.