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Finding the Fourth Proportional to 76,545, 114,832.08 and 34,992

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Solution

The fourth proportional to 76,545, 114,832.08 and 34,992 is: 52,494.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,545 : 114,832.08 = 34,992 : x
  2. Step 2: Convert to fraction form
    76,545/114,832.08 = 34,992/x
  3. Step 3: Cross multiply
    76,545x = 114,832.08 × 34,992
  4. Step 4: Simplify right side
    76,545x = 4,018,204,143.36
  5. Step 5: Solve for x
    x = 4,018,204,143.36/76,545
  6. Step 6: Final answer
    x = 52,494.67

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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.