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Finding the Fourth Proportional to 67,784, 93,541.92 and 41,288

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Solution

The fourth proportional to 67,784, 93,541.92 and 41,288 is: 56,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,784 : 93,541.92 = 41,288 : x
  2. Step 2: Convert to fraction form
    67,784/93,541.92 = 41,288/x
  3. Step 3: Cross multiply
    67,784x = 93,541.92 × 41,288
  4. Step 4: Simplify right side
    67,784x = 3,862,158,792.96
  5. Step 5: Solve for x
    x = 3,862,158,792.96/67,784
  6. Step 6: Final answer
    x = 56,977.44

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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.