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Finding the Fourth Proportional to 51,207.19, 76,823.74 and 14,271.19

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Solution

The fourth proportional to 51,207.19, 76,823.74 and 14,271.19 is: 21,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,207.19 : 76,823.74 = 14,271.19 : x
  2. Step 2: Convert to fraction form
    51,207.19/76,823.74 = 14,271.19/x
  3. Step 3: Cross multiply
    51,207.19x = 76,823.74 × 14,271.19
  4. Step 4: Simplify right side
    51,207.19x = 1,096,366,015.83
  5. Step 5: Solve for x
    x = 1,096,366,015.83/51,207.19
  6. Step 6: Final answer
    x = 21,410.39

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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.