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Finding the Fourth Proportional to 53,428.54, 80,150.10 and 22,256.50

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Solution

The fourth proportional to 53,428.54, 80,150.10 and 22,256.50 is: 33,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,428.54 : 80,150.10 = 22,256.50 : x
  2. Step 2: Convert to fraction form
    53,428.54/80,150.10 = 22,256.50/x
  3. Step 3: Cross multiply
    53,428.54x = 80,150.10 × 22,256.50
  4. Step 4: Simplify right side
    53,428.54x = 1,783,860,700.65
  5. Step 5: Solve for x
    x = 1,783,860,700.65/53,428.54
  6. Step 6: Final answer
    x = 33,387.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.