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Finding the Fourth Proportional to 40,638.76, 56,086.14 and 22,738.30

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Solution

The fourth proportional to 40,638.76, 56,086.14 and 22,738.30 is: 31,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,638.76 : 56,086.14 = 22,738.30 : x
  2. Step 2: Convert to fraction form
    40,638.76/56,086.14 = 22,738.30/x
  3. Step 3: Cross multiply
    40,638.76x = 56,086.14 × 22,738.30
  4. Step 4: Simplify right side
    40,638.76x = 1,275,303,477.16
  5. Step 5: Solve for x
    x = 1,275,303,477.16/40,638.76
  6. Step 6: Final answer
    x = 31,381.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.