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Finding the Fourth Proportional to 37,142.30, 55,713.57 and 9,440.30

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Solution

The fourth proportional to 37,142.30, 55,713.57 and 9,440.30 is: 14,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.30 : 55,713.57 = 9,440.30 : x
  2. Step 2: Convert to fraction form
    37,142.30/55,713.57 = 9,440.30/x
  3. Step 3: Cross multiply
    37,142.30x = 55,713.57 × 9,440.30
  4. Step 4: Simplify right side
    37,142.30x = 525,952,814.87
  5. Step 5: Solve for x
    x = 525,952,814.87/37,142.30
  6. Step 6: Final answer
    x = 14,160.48

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