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Finding the Fourth Proportional to 96,885.64, 145,365.36 and 33,712.78

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Solution

The fourth proportional to 96,885.64, 145,365.36 and 33,712.78 is: 50,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,885.64 : 145,365.36 = 33,712.78 : x
  2. Step 2: Convert to fraction form
    96,885.64/145,365.36 = 33,712.78/x
  3. Step 3: Cross multiply
    96,885.64x = 145,365.36 × 33,712.78
  4. Step 4: Simplify right side
    96,885.64x = 4,900,670,401.30
  5. Step 5: Solve for x
    x = 4,900,670,401.30/96,885.64
  6. Step 6: Final answer
    x = 50,582.01

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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.