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Finding the Fourth Proportional to 71,091.42, 106,663.05 and 37,814.46

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Solution

The fourth proportional to 71,091.42, 106,663.05 and 37,814.46 is: 56,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,091.42 : 106,663.05 = 37,814.46 : x
  2. Step 2: Convert to fraction form
    71,091.42/106,663.05 = 37,814.46/x
  3. Step 3: Cross multiply
    71,091.42x = 106,663.05 × 37,814.46
  4. Step 4: Simplify right side
    71,091.42x = 4,033,405,637.70
  5. Step 5: Solve for x
    x = 4,033,405,637.70/71,091.42
  6. Step 6: Final answer
    x = 56,735.48

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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.