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Finding the Fourth Proportional to 38,225.96, 52,751.46 and 21,458.84

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Solution

The fourth proportional to 38,225.96, 52,751.46 and 21,458.84 is: 29,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,225.96 : 52,751.46 = 21,458.84 : x
  2. Step 2: Convert to fraction form
    38,225.96/52,751.46 = 21,458.84/x
  3. Step 3: Cross multiply
    38,225.96x = 52,751.46 × 21,458.84
  4. Step 4: Simplify right side
    38,225.96x = 1,131,985,139.91
  5. Step 5: Solve for x
    x = 1,131,985,139.91/38,225.96
  6. Step 6: Final answer
    x = 29,612.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.