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Finding the Fourth Proportional to 40,056, 60,084.81 and 12,354

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Solution

The fourth proportional to 40,056, 60,084.81 and 12,354 is: 18,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,056 : 60,084.81 = 12,354 : x
  2. Step 2: Convert to fraction form
    40,056/60,084.81 = 12,354/x
  3. Step 3: Cross multiply
    40,056x = 60,084.81 × 12,354
  4. Step 4: Simplify right side
    40,056x = 742,287,742.74
  5. Step 5: Solve for x
    x = 742,287,742.74/40,056
  6. Step 6: Final answer
    x = 18,531.25

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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.