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Finding the Fourth Proportional to 38,009.70, 56,965.95 and 29,200.95

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Solution

The fourth proportional to 38,009.70, 56,965.95 and 29,200.95 is: 43,764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.70 : 56,965.95 = 29,200.95 : x
  2. Step 2: Convert to fraction form
    38,009.70/56,965.95 = 29,200.95/x
  3. Step 3: Cross multiply
    38,009.70x = 56,965.95 × 29,200.95
  4. Step 4: Simplify right side
    38,009.70x = 1,663,459,857.65
  5. Step 5: Solve for x
    x = 1,663,459,857.65/38,009.70
  6. Step 6: Final answer
    x = 43,764.09

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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.