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Finding the Fourth Proportional to 76,392, 114,634.08 and 32,616

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Solution

The fourth proportional to 76,392, 114,634.08 and 32,616 is: 48,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,392 : 114,634.08 = 32,616 : x
  2. Step 2: Convert to fraction form
    76,392/114,634.08 = 32,616/x
  3. Step 3: Cross multiply
    76,392x = 114,634.08 × 32,616
  4. Step 4: Simplify right side
    76,392x = 3,738,905,153.28
  5. Step 5: Solve for x
    x = 3,738,905,153.28/76,392
  6. Step 6: Final answer
    x = 48,943.67

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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.