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Finding the Fourth Proportional to 51,207.70, 76,811.47 and 14,271.70

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Solution

The fourth proportional to 51,207.70, 76,811.47 and 14,271.70 is: 21,407.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207.70 : 76,811.47 = 14,271.70 : x
  2. Step 2: Convert to fraction form
    51,207.70/76,811.47 = 14,271.70/x
  3. Step 3: Cross multiply
    51,207.70x = 76,811.47 × 14,271.70
  4. Step 4: Simplify right side
    51,207.70x = 1,096,230,256.40
  5. Step 5: Solve for x
    x = 1,096,230,256.40/51,207.70
  6. Step 6: Final answer
    x = 21,407.53

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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.