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Finding the Fourth Proportional to 76,177, 114,265.50 and 32,401

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Solution

The fourth proportional to 76,177, 114,265.50 and 32,401 is: 48,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,177 : 114,265.50 = 32,401 : x
  2. Step 2: Convert to fraction form
    76,177/114,265.50 = 32,401/x
  3. Step 3: Cross multiply
    76,177x = 114,265.50 × 32,401
  4. Step 4: Simplify right side
    76,177x = 3,702,316,465.50
  5. Step 5: Solve for x
    x = 3,702,316,465.50/76,177
  6. Step 6: Final answer
    x = 48,601.50

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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.