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Finding the Fourth Proportional to 82,851.76, 114,296.34 and 56,003.64

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Solution

The fourth proportional to 82,851.76, 114,296.34 and 56,003.64 is: 77,258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.76 : 114,296.34 = 56,003.64 : x
  2. Step 2: Convert to fraction form
    82,851.76/114,296.34 = 56,003.64/x
  3. Step 3: Cross multiply
    82,851.76x = 114,296.34 × 56,003.64
  4. Step 4: Simplify right side
    82,851.76x = 6,401,011,078.68
  5. Step 5: Solve for x
    x = 6,401,011,078.68/82,851.76
  6. Step 6: Final answer
    x = 77,258.60

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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.