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Finding the Fourth Proportional to 40,446.84, 60,670.26 and 12,747

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Solution

The fourth proportional to 40,446.84, 60,670.26 and 12,747 is: 19,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,446.84 : 60,670.26 = 12,747 : x
  2. Step 2: Convert to fraction form
    40,446.84/60,670.26 = 12,747/x
  3. Step 3: Cross multiply
    40,446.84x = 60,670.26 × 12,747
  4. Step 4: Simplify right side
    40,446.84x = 773,363,804.22
  5. Step 5: Solve for x
    x = 773,363,804.22/40,446.84
  6. Step 6: Final answer
    x = 19,120.50

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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.