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Finding the Fourth Proportional to 68,827.84, 103,172.02 and 46,643.44

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Solution

The fourth proportional to 68,827.84, 103,172.02 and 46,643.44 is: 69,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,827.84 : 103,172.02 = 46,643.44 : x
  2. Step 2: Convert to fraction form
    68,827.84/103,172.02 = 46,643.44/x
  3. Step 3: Cross multiply
    68,827.84x = 103,172.02 × 46,643.44
  4. Step 4: Simplify right side
    68,827.84x = 4,812,297,924.55
  5. Step 5: Solve for x
    x = 4,812,297,924.55/68,827.84
  6. Step 6: Final answer
    x = 69,917.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.