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Finding the Fourth Proportional to 51,164, 76,750.32 and 14,228

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Solution

The fourth proportional to 51,164, 76,750.32 and 14,228 is: 21,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164 : 76,750.32 = 14,228 : x
  2. Step 2: Convert to fraction form
    51,164/76,750.32 = 14,228/x
  3. Step 3: Cross multiply
    51,164x = 76,750.32 × 14,228
  4. Step 4: Simplify right side
    51,164x = 1,092,003,552.96
  5. Step 5: Solve for x
    x = 1,092,003,552.96/51,164
  6. Step 6: Final answer
    x = 21,343.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.