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Finding the Fourth Proportional to 51,124, 76,686.02 and 14,188

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Solution

The fourth proportional to 51,124, 76,686.02 and 14,188 is: 21,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,124 : 76,686.02 = 14,188 : x
  2. Step 2: Convert to fraction form
    51,124/76,686.02 = 14,188/x
  3. Step 3: Cross multiply
    51,124x = 76,686.02 × 14,188
  4. Step 4: Simplify right side
    51,124x = 1,088,021,251.76
  5. Step 5: Solve for x
    x = 1,088,021,251.76/51,124
  6. Step 6: Final answer
    x = 21,282.01

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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.