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Finding the Fourth Proportional to 40,404.77, 55,750.12 and 23,408

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Solution

The fourth proportional to 40,404.77, 55,750.12 and 23,408 is: 32,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,404.77 : 55,750.12 = 23,408 : x
  2. Step 2: Convert to fraction form
    40,404.77/55,750.12 = 23,408/x
  3. Step 3: Cross multiply
    40,404.77x = 55,750.12 × 23,408
  4. Step 4: Simplify right side
    40,404.77x = 1,304,998,808.96
  5. Step 5: Solve for x
    x = 1,304,998,808.96/40,404.77
  6. Step 6: Final answer
    x = 32,298.14

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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.