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Finding the Fourth Proportional to 115,232.50, 172,848.75 and 27,680.50

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Solution

The fourth proportional to 115,232.50, 172,848.75 and 27,680.50 is: 41,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,232.50 : 172,848.75 = 27,680.50 : x
  2. Step 2: Convert to fraction form
    115,232.50/172,848.75 = 27,680.50/x
  3. Step 3: Cross multiply
    115,232.50x = 172,848.75 × 27,680.50
  4. Step 4: Simplify right side
    115,232.50x = 4,784,539,824.38
  5. Step 5: Solve for x
    x = 4,784,539,824.38/115,232.50
  6. Step 6: Final answer
    x = 41,520.75

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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.