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Finding the Fourth Proportional to 38,442.75, 53,051.00 and 20,778.75

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Solution

The fourth proportional to 38,442.75, 53,051.00 and 20,778.75 is: 28,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.75 : 53,051.00 = 20,778.75 : x
  2. Step 2: Convert to fraction form
    38,442.75/53,051.00 = 20,778.75/x
  3. Step 3: Cross multiply
    38,442.75x = 53,051.00 × 20,778.75
  4. Step 4: Simplify right side
    38,442.75x = 1,102,333,362.36
  5. Step 5: Solve for x
    x = 1,102,333,362.36/38,442.75
  6. Step 6: Final answer
    x = 28,674.68

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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.