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Finding the Fourth Proportional to 89,780.50, 134,670.75 and 34,376.50

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Solution

The fourth proportional to 89,780.50, 134,670.75 and 34,376.50 is: 51,564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,780.50 : 134,670.75 = 34,376.50 : x
  2. Step 2: Convert to fraction form
    89,780.50/134,670.75 = 34,376.50/x
  3. Step 3: Cross multiply
    89,780.50x = 134,670.75 × 34,376.50
  4. Step 4: Simplify right side
    89,780.50x = 4,629,509,037.38
  5. Step 5: Solve for x
    x = 4,629,509,037.38/89,780.50
  6. Step 6: Final answer
    x = 51,564.75

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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.