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Finding the Fourth Proportional to 73,954.50, 110,931.75 and 24,706.50

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Solution

The fourth proportional to 73,954.50, 110,931.75 and 24,706.50 is: 37,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,954.50 : 110,931.75 = 24,706.50 : x
  2. Step 2: Convert to fraction form
    73,954.50/110,931.75 = 24,706.50/x
  3. Step 3: Cross multiply
    73,954.50x = 110,931.75 × 24,706.50
  4. Step 4: Simplify right side
    73,954.50x = 2,740,735,281.38
  5. Step 5: Solve for x
    x = 2,740,735,281.38/73,954.50
  6. Step 6: Final answer
    x = 37,059.75

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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.