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Finding the Fourth Proportional to 68,275.81, 102,376.62 and 30,792.01

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Solution

The fourth proportional to 68,275.81, 102,376.62 and 30,792.01 is: 46,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275.81 : 102,376.62 = 30,792.01 : x
  2. Step 2: Convert to fraction form
    68,275.81/102,376.62 = 30,792.01/x
  3. Step 3: Cross multiply
    68,275.81x = 102,376.62 × 30,792.01
  4. Step 4: Simplify right side
    68,275.81x = 3,152,381,906.81
  5. Step 5: Solve for x
    x = 3,152,381,906.81/68,275.81
  6. Step 6: Final answer
    x = 46,171.29

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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.