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Finding the Fourth Proportional to 67,830.72, 93,583.92 and 40,963

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Solution

The fourth proportional to 67,830.72, 93,583.92 and 40,963 is: 56,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.72 : 93,583.92 = 40,963 : x
  2. Step 2: Convert to fraction form
    67,830.72/93,583.92 = 40,963/x
  3. Step 3: Cross multiply
    67,830.72x = 93,583.92 × 40,963
  4. Step 4: Simplify right side
    67,830.72x = 3,833,478,114.96
  5. Step 5: Solve for x
    x = 3,833,478,114.96/67,830.72
  6. Step 6: Final answer
    x = 56,515.37

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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.