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Finding the Fourth Proportional to 51,166, 76,753.32 and 14,230

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Solution

The fourth proportional to 51,166, 76,753.32 and 14,230 is: 21,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,166 : 76,753.32 = 14,230 : x
  2. Step 2: Convert to fraction form
    51,166/76,753.32 = 14,230/x
  3. Step 3: Cross multiply
    51,166x = 76,753.32 × 14,230
  4. Step 4: Simplify right side
    51,166x = 1,092,199,743.60
  5. Step 5: Solve for x
    x = 1,092,199,743.60/51,166
  6. Step 6: Final answer
    x = 21,346.20

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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.