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Finding the Fourth Proportional to 51,213, 76,820.04 and 14,277

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Solution

The fourth proportional to 51,213, 76,820.04 and 14,277 is: 21,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,213 : 76,820.04 = 14,277 : x
  2. Step 2: Convert to fraction form
    51,213/76,820.04 = 14,277/x
  3. Step 3: Cross multiply
    51,213x = 76,820.04 × 14,277
  4. Step 4: Simplify right side
    51,213x = 1,096,759,711.08
  5. Step 5: Solve for x
    x = 1,096,759,711.08/51,213
  6. Step 6: Final answer
    x = 21,415.65

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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.