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Finding the Fourth Proportional to 37,142.43, 55,713.76 and 9,440.43

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Solution

The fourth proportional to 37,142.43, 55,713.76 and 9,440.43 is: 14,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,142.43 : 55,713.76 = 9,440.43 : x
  2. Step 2: Convert to fraction form
    37,142.43/55,713.76 = 9,440.43/x
  3. Step 3: Cross multiply
    37,142.43x = 55,713.76 × 9,440.43
  4. Step 4: Simplify right side
    37,142.43x = 525,961,549.15
  5. Step 5: Solve for x
    x = 525,961,549.15/37,142.43
  6. Step 6: Final answer
    x = 14,160.67

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1.5x scale

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.