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Finding the Fourth Proportional to 40,751.40, 56,236.14 and 22,602

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Solution

The fourth proportional to 40,751.40, 56,236.14 and 22,602 is: 31,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,751.40 : 56,236.14 = 22,602 : x
  2. Step 2: Convert to fraction form
    40,751.40/56,236.14 = 22,602/x
  3. Step 3: Cross multiply
    40,751.40x = 56,236.14 × 22,602
  4. Step 4: Simplify right side
    40,751.40x = 1,271,049,236.28
  5. Step 5: Solve for x
    x = 1,271,049,236.28/40,751.40
  6. Step 6: Final answer
    x = 31,190.32

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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.