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Finding the Fourth Proportional to 51,237, 76,868.46 and 14,301

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Solution

The fourth proportional to 51,237, 76,868.46 and 14,301 is: 21,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,237 : 76,868.46 = 14,301 : x
  2. Step 2: Convert to fraction form
    51,237/76,868.46 = 14,301/x
  3. Step 3: Cross multiply
    51,237x = 76,868.46 × 14,301
  4. Step 4: Simplify right side
    51,237x = 1,099,295,846.46
  5. Step 5: Solve for x
    x = 1,099,295,846.46/51,237
  6. Step 6: Final answer
    x = 21,455.12

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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.