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Finding the Fourth Proportional to 37,141.72, 55,707.10 and 10,839.40

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Solution

The fourth proportional to 37,141.72, 55,707.10 and 10,839.40 is: 16,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,141.72 : 55,707.10 = 10,839.40 : x
  2. Step 2: Convert to fraction form
    37,141.72/55,707.10 = 10,839.40/x
  3. Step 3: Cross multiply
    37,141.72x = 55,707.10 × 10,839.40
  4. Step 4: Simplify right side
    37,141.72x = 603,831,539.74
  5. Step 5: Solve for x
    x = 603,831,539.74/37,141.72
  6. Step 6: Final answer
    x = 16,257.50

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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.