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Finding the Fourth Proportional to 40,146.88, 55,465.68 and 27,638.32

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Solution

The fourth proportional to 40,146.88, 55,465.68 and 27,638.32 is: 38,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,146.88 : 55,465.68 = 27,638.32 : x
  2. Step 2: Convert to fraction form
    40,146.88/55,465.68 = 27,638.32/x
  3. Step 3: Cross multiply
    40,146.88x = 55,465.68 × 27,638.32
  4. Step 4: Simplify right side
    40,146.88x = 1,532,978,212.86
  5. Step 5: Solve for x
    x = 1,532,978,212.86/40,146.88
  6. Step 6: Final answer
    x = 38,184.24

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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.