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Finding the Fourth Proportional to 51,268, 76,902.08 and 14,332

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Solution

The fourth proportional to 51,268, 76,902.08 and 14,332 is: 21,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,268 : 76,902.08 = 14,332 : x
  2. Step 2: Convert to fraction form
    51,268/76,902.08 = 14,332/x
  3. Step 3: Cross multiply
    51,268x = 76,902.08 × 14,332
  4. Step 4: Simplify right side
    51,268x = 1,102,160,610.56
  5. Step 5: Solve for x
    x = 1,102,160,610.56/51,268
  6. Step 6: Final answer
    x = 21,498.02

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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.